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Finding the Third Proportional to 402,349 and 837,747

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Solution

The third proportional to 402,349 and 837,747 is: 1,744,306.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,349 : 837,747 = 837,747 : x
  2. Step 2: Convert to fraction form
    402,349/837,747 = 837,747/x
  3. Step 3: Cross multiply
    402,349x = 837,747 × 837,747
  4. Step 4: Simplify right side
    402,349x = 701,820,036,009
  5. Step 5: Solve for x
    x = 701,820,036,009/402,349
  6. Step 6: Final answer
    x = 1,744,306.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.