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Finding the Third Proportional to 103,988 and 161,310

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Solution

The third proportional to 103,988 and 161,310 is: 250,229.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,988 : 161,310 = 161,310 : x
  2. Step 2: Convert to fraction form
    103,988/161,310 = 161,310/x
  3. Step 3: Cross multiply
    103,988x = 161,310 × 161,310
  4. Step 4: Simplify right side
    103,988x = 26,020,916,100
  5. Step 5: Solve for x
    x = 26,020,916,100/103,988
  6. Step 6: Final answer
    x = 250,229.99

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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.