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Finding the Third Proportional to 102,208 and 157,880

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Solution

The third proportional to 102,208 and 157,880 is: 243,876.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,208 : 157,880 = 157,880 : x
  2. Step 2: Convert to fraction form
    102,208/157,880 = 157,880/x
  3. Step 3: Cross multiply
    102,208x = 157,880 × 157,880
  4. Step 4: Simplify right side
    102,208x = 24,926,094,400
  5. Step 5: Solve for x
    x = 24,926,094,400/102,208
  6. Step 6: Final answer
    x = 243,876.16

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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.