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Finding the Third Proportional to 69,531 and 148,908

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Solution

The third proportional to 69,531 and 148,908 is: 318,902.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,531 : 148,908 = 148,908 : x
  2. Step 2: Convert to fraction form
    69,531/148,908 = 148,908/x
  3. Step 3: Cross multiply
    69,531x = 148,908 × 148,908
  4. Step 4: Simplify right side
    69,531x = 22,173,592,464
  5. Step 5: Solve for x
    x = 22,173,592,464/69,531
  6. Step 6: Final answer
    x = 318,902.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.