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Finding the Third Proportional to 405,749 and 881,482

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Solution

The third proportional to 405,749 and 881,482 is: 1,915,002.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,749 : 881,482 = 881,482 : x
  2. Step 2: Convert to fraction form
    405,749/881,482 = 881,482/x
  3. Step 3: Cross multiply
    405,749x = 881,482 × 881,482
  4. Step 4: Simplify right side
    405,749x = 777,010,516,324
  5. Step 5: Solve for x
    x = 777,010,516,324/405,749
  6. Step 6: Final answer
    x = 1,915,002.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.