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Finding the Third Proportional to 147,927 and 319,510

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Solution

The third proportional to 147,927 and 319,510 is: 690,114.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,927 : 319,510 = 319,510 : x
  2. Step 2: Convert to fraction form
    147,927/319,510 = 319,510/x
  3. Step 3: Cross multiply
    147,927x = 319,510 × 319,510
  4. Step 4: Simplify right side
    147,927x = 102,086,640,100
  5. Step 5: Solve for x
    x = 102,086,640,100/147,927
  6. Step 6: Final answer
    x = 690,114.99

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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.