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Finding the Third Proportional to 253,225.88 and 386,269.88

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Solution

The third proportional to 253,225.88 and 386,269.88 is: 589,214.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,225.88 : 386,269.88 = 386,269.88 : x
  2. Step 2: Convert to fraction form
    253,225.88/386,269.88 = 386,269.88/x
  3. Step 3: Cross multiply
    253,225.88x = 386,269.88 × 386,269.88
  4. Step 4: Simplify right side
    253,225.88x = 149,204,416,332.52
  5. Step 5: Solve for x
    x = 149,204,416,332.52/253,225.88
  6. Step 6: Final answer
    x = 589,214.73

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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.