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Finding the Third Proportional to 154,552 and 338,660

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Solution

The third proportional to 154,552 and 338,660 is: 742,084.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,552 : 338,660 = 338,660 : x
  2. Step 2: Convert to fraction form
    154,552/338,660 = 338,660/x
  3. Step 3: Cross multiply
    154,552x = 338,660 × 338,660
  4. Step 4: Simplify right side
    154,552x = 114,690,595,600
  5. Step 5: Solve for x
    x = 114,690,595,600/154,552
  6. Step 6: Final answer
    x = 742,084.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.