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Finding the Third Proportional to 69,074.65 and 148,654.30

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Solution

The third proportional to 69,074.65 and 148,654.30 is: 319,916.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,074.65 : 148,654.30 = 148,654.30 : x
  2. Step 2: Convert to fraction form
    69,074.65/148,654.30 = 148,654.30/x
  3. Step 3: Cross multiply
    69,074.65x = 148,654.30 × 148,654.30
  4. Step 4: Simplify right side
    69,074.65x = 22,098,101,140.76
  5. Step 5: Solve for x
    x = 22,098,101,140.76/69,074.65
  6. Step 6: Final answer
    x = 319,916.23

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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.