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Finding the Third Proportional to 387,454 and 520,674

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Solution

The third proportional to 387,454 and 520,674 is: 699,699.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,454 : 520,674 = 520,674 : x
  2. Step 2: Convert to fraction form
    387,454/520,674 = 520,674/x
  3. Step 3: Cross multiply
    387,454x = 520,674 × 520,674
  4. Step 4: Simplify right side
    387,454x = 271,101,414,276
  5. Step 5: Solve for x
    x = 271,101,414,276/387,454
  6. Step 6: Final answer
    x = 699,699.61

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.