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Finding the Third Proportional to 151,536 and 319,047

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Solution

The third proportional to 151,536 and 319,047 is: 671,728.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,536 : 319,047 = 319,047 : x
  2. Step 2: Convert to fraction form
    151,536/319,047 = 319,047/x
  3. Step 3: Cross multiply
    151,536x = 319,047 × 319,047
  4. Step 4: Simplify right side
    151,536x = 101,790,988,209
  5. Step 5: Solve for x
    x = 101,790,988,209/151,536
  6. Step 6: Final answer
    x = 671,728.09

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.