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Finding the Third Proportional to 354,594 and 538,449

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Solution

The third proportional to 354,594 and 538,449 is: 817,631.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,594 : 538,449 = 538,449 : x
  2. Step 2: Convert to fraction form
    354,594/538,449 = 538,449/x
  3. Step 3: Cross multiply
    354,594x = 538,449 × 538,449
  4. Step 4: Simplify right side
    354,594x = 289,927,325,601
  5. Step 5: Solve for x
    x = 289,927,325,601/354,594
  6. Step 6: Final answer
    x = 817,631.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.