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Finding the Third Proportional to 147,971 and 319,591

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Solution

The third proportional to 147,971 and 319,591 is: 690,259.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,971 : 319,591 = 319,591 : x
  2. Step 2: Convert to fraction form
    147,971/319,591 = 319,591/x
  3. Step 3: Cross multiply
    147,971x = 319,591 × 319,591
  4. Step 4: Simplify right side
    147,971x = 102,138,407,281
  5. Step 5: Solve for x
    x = 102,138,407,281/147,971
  6. Step 6: Final answer
    x = 690,259.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.