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Finding the Third Proportional to 137,242.50 and 293,511

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Solution

The third proportional to 137,242.50 and 293,511 is: 627,711.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,242.50 : 293,511 = 293,511 : x
  2. Step 2: Convert to fraction form
    137,242.50/293,511 = 293,511/x
  3. Step 3: Cross multiply
    137,242.50x = 293,511 × 293,511
  4. Step 4: Simplify right side
    137,242.50x = 86,148,707,121
  5. Step 5: Solve for x
    x = 86,148,707,121/137,242.50
  6. Step 6: Final answer
    x = 627,711.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.