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Finding the Third Proportional to 219,349,132,740 and 477,639,200,948

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Solution

The third proportional to 219,349,132,740 and 477,639,200,948 is: 1,040,073,436,500.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,349,132,740 : 477,639,200,948 = 477,639,200,948 : x
  2. Step 2: Convert to fraction form
    219,349,132,740/477,639,200,948 = 477,639,200,948/x
  3. Step 3: Cross multiply
    219,349,132,740x = 477,639,200,948 × 477,639,200,948
  4. Step 4: Simplify right side
    219,349,132,740x = 228,139,206,282,243,918,004,224
  5. Step 5: Solve for x
    x = 228,139,206,282,243,918,004,224/219,349,132,740
  6. Step 6: Final answer
    x = 1,040,073,436,500.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.