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Finding the Third Proportional to 402,414 and 603,670

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Solution

The third proportional to 402,414 and 603,670 is: 905,578.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,414 : 603,670 = 603,670 : x
  2. Step 2: Convert to fraction form
    402,414/603,670 = 603,670/x
  3. Step 3: Cross multiply
    402,414x = 603,670 × 603,670
  4. Step 4: Simplify right side
    402,414x = 364,417,468,900
  5. Step 5: Solve for x
    x = 364,417,468,900/402,414
  6. Step 6: Final answer
    x = 905,578.51

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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.