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Finding the Third Proportional to 155,862 and 338,292

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Solution

The third proportional to 155,862 and 338,292 is: 734,248.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,862 : 338,292 = 338,292 : x
  2. Step 2: Convert to fraction form
    155,862/338,292 = 338,292/x
  3. Step 3: Cross multiply
    155,862x = 338,292 × 338,292
  4. Step 4: Simplify right side
    155,862x = 114,441,477,264
  5. Step 5: Solve for x
    x = 114,441,477,264/155,862
  6. Step 6: Final answer
    x = 734,248.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.