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Finding the Third Proportional to 155,931 and 322,559

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Solution

The third proportional to 155,931 and 322,559 is: 667,245.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,931 : 322,559 = 322,559 : x
  2. Step 2: Convert to fraction form
    155,931/322,559 = 322,559/x
  3. Step 3: Cross multiply
    155,931x = 322,559 × 322,559
  4. Step 4: Simplify right side
    155,931x = 104,044,308,481
  5. Step 5: Solve for x
    x = 104,044,308,481/155,931
  6. Step 6: Final answer
    x = 667,245.82

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.