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Finding the Third Proportional to 157,413 and 338,154

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Solution

The third proportional to 157,413 and 338,154 is: 726,421.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,413 : 338,154 = 338,154 : x
  2. Step 2: Convert to fraction form
    157,413/338,154 = 338,154/x
  3. Step 3: Cross multiply
    157,413x = 338,154 × 338,154
  4. Step 4: Simplify right side
    157,413x = 114,348,127,716
  5. Step 5: Solve for x
    x = 114,348,127,716/157,413
  6. Step 6: Final answer
    x = 726,421.12

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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.