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Finding the Third Proportional to 157,983 and 242,254

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Solution

The third proportional to 157,983 and 242,254 is: 371,476.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,983 : 242,254 = 242,254 : x
  2. Step 2: Convert to fraction form
    157,983/242,254 = 242,254/x
  3. Step 3: Cross multiply
    157,983x = 242,254 × 242,254
  4. Step 4: Simplify right side
    157,983x = 58,687,000,516
  5. Step 5: Solve for x
    x = 58,687,000,516/157,983
  6. Step 6: Final answer
    x = 371,476.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.