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Finding the Third Proportional to 138,148.88 and 305,332.88

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Solution

The third proportional to 138,148.88 and 305,332.88 is: 674,838.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,148.88 : 305,332.88 = 305,332.88 : x
  2. Step 2: Convert to fraction form
    138,148.88/305,332.88 = 305,332.88/x
  3. Step 3: Cross multiply
    138,148.88x = 305,332.88 × 305,332.88
  4. Step 4: Simplify right side
    138,148.88x = 93,228,164,555.77
  5. Step 5: Solve for x
    x = 93,228,164,555.77/138,148.88
  6. Step 6: Final answer
    x = 674,838.39

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.