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Finding the Third Proportional to 102,142 and 157,520

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Solution

The third proportional to 102,142 and 157,520 is: 242,922.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,142 : 157,520 = 157,520 : x
  2. Step 2: Convert to fraction form
    102,142/157,520 = 157,520/x
  3. Step 3: Cross multiply
    102,142x = 157,520 × 157,520
  4. Step 4: Simplify right side
    102,142x = 24,812,550,400
  5. Step 5: Solve for x
    x = 24,812,550,400/102,142
  6. Step 6: Final answer
    x = 242,922.11

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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.