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Finding the Third Proportional to 138,988 and 303,468

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Solution

The third proportional to 138,988 and 303,468 is: 662,595.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,988 : 303,468 = 303,468 : x
  2. Step 2: Convert to fraction form
    138,988/303,468 = 303,468/x
  3. Step 3: Cross multiply
    138,988x = 303,468 × 303,468
  4. Step 4: Simplify right side
    138,988x = 92,092,827,024
  5. Step 5: Solve for x
    x = 92,092,827,024/138,988
  6. Step 6: Final answer
    x = 662,595.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.