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Finding the Third Proportional to 307,878.75 and 672,499.13

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Solution

The third proportional to 307,878.75 and 672,499.13 is: 1,468,938.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,878.75 : 672,499.13 = 672,499.13 : x
  2. Step 2: Convert to fraction form
    307,878.75/672,499.13 = 672,499.13/x
  3. Step 3: Cross multiply
    307,878.75x = 672,499.13 × 672,499.13
  4. Step 4: Simplify right side
    307,878.75x = 452,255,073,125.77
  5. Step 5: Solve for x
    x = 452,255,073,125.77/307,878.75
  6. Step 6: Final answer
    x = 1,468,938.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.