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Finding the Third Proportional to 342,677.25 and 502,321.50

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Solution

The third proportional to 342,677.25 and 502,321.50 is: 736,339.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,677.25 : 502,321.50 = 502,321.50 : x
  2. Step 2: Convert to fraction form
    342,677.25/502,321.50 = 502,321.50/x
  3. Step 3: Cross multiply
    342,677.25x = 502,321.50 × 502,321.50
  4. Step 4: Simplify right side
    342,677.25x = 252,326,889,362.25
  5. Step 5: Solve for x
    x = 252,326,889,362.25/342,677.25
  6. Step 6: Final answer
    x = 736,339.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.