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Finding the Third Proportional to 402,404 and 603,654

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Solution

The third proportional to 402,404 and 603,654 is: 905,553.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,404 : 603,654 = 603,654 : x
  2. Step 2: Convert to fraction form
    402,404/603,654 = 603,654/x
  3. Step 3: Cross multiply
    402,404x = 603,654 × 603,654
  4. Step 4: Simplify right side
    402,404x = 364,398,151,716
  5. Step 5: Solve for x
    x = 364,398,151,716/402,404
  6. Step 6: Final answer
    x = 905,553.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.