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Finding the Third Proportional to 157,543 and 242,155

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Solution

The third proportional to 157,543 and 242,155 is: 372,209.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,543 : 242,155 = 242,155 : x
  2. Step 2: Convert to fraction form
    157,543/242,155 = 242,155/x
  3. Step 3: Cross multiply
    157,543x = 242,155 × 242,155
  4. Step 4: Simplify right side
    157,543x = 58,639,044,025
  5. Step 5: Solve for x
    x = 58,639,044,025/157,543
  6. Step 6: Final answer
    x = 372,209.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.