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Finding the Third Proportional to 69,089 and 148,748

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Solution

The third proportional to 69,089 and 148,748 is: 320,253.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,089 : 148,748 = 148,748 : x
  2. Step 2: Convert to fraction form
    69,089/148,748 = 148,748/x
  3. Step 3: Cross multiply
    69,089x = 148,748 × 148,748
  4. Step 4: Simplify right side
    69,089x = 22,125,967,504
  5. Step 5: Solve for x
    x = 22,125,967,504/69,089
  6. Step 6: Final answer
    x = 320,253.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.