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Finding the Third Proportional to 157,160 and 243,543

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Solution

The third proportional to 157,160 and 243,543 is: 377,406.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,160 : 243,543 = 243,543 : x
  2. Step 2: Convert to fraction form
    157,160/243,543 = 243,543/x
  3. Step 3: Cross multiply
    157,160x = 243,543 × 243,543
  4. Step 4: Simplify right side
    157,160x = 59,313,192,849
  5. Step 5: Solve for x
    x = 59,313,192,849/157,160
  6. Step 6: Final answer
    x = 377,406.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.