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Finding the Third Proportional to 138,280 and 208,693

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Solution

The third proportional to 138,280 and 208,693 is: 314,960.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,280 : 208,693 = 208,693 : x
  2. Step 2: Convert to fraction form
    138,280/208,693 = 208,693/x
  3. Step 3: Cross multiply
    138,280x = 208,693 × 208,693
  4. Step 4: Simplify right side
    138,280x = 43,552,768,249
  5. Step 5: Solve for x
    x = 43,552,768,249/138,280
  6. Step 6: Final answer
    x = 314,960.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.