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Finding the Third Proportional to 137,080 and 209,508

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Solution

The third proportional to 137,080 and 209,508 is: 320,204.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,080 : 209,508 = 209,508 : x
  2. Step 2: Convert to fraction form
    137,080/209,508 = 209,508/x
  3. Step 3: Cross multiply
    137,080x = 209,508 × 209,508
  4. Step 4: Simplify right side
    137,080x = 43,893,602,064
  5. Step 5: Solve for x
    x = 43,893,602,064/137,080
  6. Step 6: Final answer
    x = 320,204.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.