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Finding the Third Proportional to 420,659 and 912,294

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Solution

The third proportional to 420,659 and 912,294 is: 1,978,515.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,659 : 912,294 = 912,294 : x
  2. Step 2: Convert to fraction form
    420,659/912,294 = 912,294/x
  3. Step 3: Cross multiply
    420,659x = 912,294 × 912,294
  4. Step 4: Simplify right side
    420,659x = 832,280,342,436
  5. Step 5: Solve for x
    x = 832,280,342,436/420,659
  6. Step 6: Final answer
    x = 1,978,515.48

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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.