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Finding the Third Proportional to 137,281.50 and 297,729

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Solution

The third proportional to 137,281.50 and 297,729 is: 645,699.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,281.50 : 297,729 = 297,729 : x
  2. Step 2: Convert to fraction form
    137,281.50/297,729 = 297,729/x
  3. Step 3: Cross multiply
    137,281.50x = 297,729 × 297,729
  4. Step 4: Simplify right side
    137,281.50x = 88,642,557,441
  5. Step 5: Solve for x
    x = 88,642,557,441/137,281.50
  6. Step 6: Final answer
    x = 645,699.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.