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Finding the Third Proportional to 213,871,086 and 458,436,990

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Solution

The third proportional to 213,871,086 and 458,436,990 is: 982,668,941.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,871,086 : 458,436,990 = 458,436,990 : x
  2. Step 2: Convert to fraction form
    213,871,086/458,436,990 = 458,436,990/x
  3. Step 3: Cross multiply
    213,871,086x = 458,436,990 × 458,436,990
  4. Step 4: Simplify right side
    213,871,086x = 210,164,473,800,260,096
  5. Step 5: Solve for x
    x = 210,164,473,800,260,096/213,871,086
  6. Step 6: Final answer
    x = 982,668,941.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.