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Finding the Third Proportional to 137,710.50 and 249,469.50

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Solution

The third proportional to 137,710.50 and 249,469.50 is: 451,926.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,710.50 : 249,469.50 = 249,469.50 : x
  2. Step 2: Convert to fraction form
    137,710.50/249,469.50 = 249,469.50/x
  3. Step 3: Cross multiply
    137,710.50x = 249,469.50 × 249,469.50
  4. Step 4: Simplify right side
    137,710.50x = 62,235,031,430.25
  5. Step 5: Solve for x
    x = 62,235,031,430.25/137,710.50
  6. Step 6: Final answer
    x = 451,926.55

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.