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Finding the Third Proportional to 332,931 and 521,718

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Solution

The third proportional to 332,931 and 521,718 is: 817,555.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,931 : 521,718 = 521,718 : x
  2. Step 2: Convert to fraction form
    332,931/521,718 = 521,718/x
  3. Step 3: Cross multiply
    332,931x = 521,718 × 521,718
  4. Step 4: Simplify right side
    332,931x = 272,189,671,524
  5. Step 5: Solve for x
    x = 272,189,671,524/332,931
  6. Step 6: Final answer
    x = 817,555.80

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.