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Finding the Third Proportional to 157,416 and 338,160

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Solution

The third proportional to 157,416 and 338,160 is: 726,433.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,416 : 338,160 = 338,160 : x
  2. Step 2: Convert to fraction form
    157,416/338,160 = 338,160/x
  3. Step 3: Cross multiply
    157,416x = 338,160 × 338,160
  4. Step 4: Simplify right side
    157,416x = 114,352,185,600
  5. Step 5: Solve for x
    x = 114,352,185,600/157,416
  6. Step 6: Final answer
    x = 726,433.05

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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.