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Finding the Third Proportional to 138,139.80 and 305,314.31

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Solution

The third proportional to 138,139.80 and 305,314.31 is: 674,800.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,139.80 : 305,314.31 = 305,314.31 : x
  2. Step 2: Convert to fraction form
    138,139.80/305,314.31 = 305,314.31/x
  3. Step 3: Cross multiply
    138,139.80x = 305,314.31 × 305,314.31
  4. Step 4: Simplify right side
    138,139.80x = 93,216,829,417.35
  5. Step 5: Solve for x
    x = 93,216,829,417.35/138,139.80
  6. Step 6: Final answer
    x = 674,800.65

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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.