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Finding the Third Proportional to 424,742 and 912,446

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Solution

The third proportional to 424,742 and 912,446 is: 1,960,149.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,742 : 912,446 = 912,446 : x
  2. Step 2: Convert to fraction form
    424,742/912,446 = 912,446/x
  3. Step 3: Cross multiply
    424,742x = 912,446 × 912,446
  4. Step 4: Simplify right side
    424,742x = 832,557,702,916
  5. Step 5: Solve for x
    x = 832,557,702,916/424,742
  6. Step 6: Final answer
    x = 1,960,149.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.