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Finding the Third Proportional to 137,987,687.81 and 280,030,073.34

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Solution

The third proportional to 137,987,687.81 and 280,030,073.34 is: 568,288,687.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,987,687.81 : 280,030,073.34 = 280,030,073.34 : x
  2. Step 2: Convert to fraction form
    137,987,687.81/280,030,073.34 = 280,030,073.34/x
  3. Step 3: Cross multiply
    137,987,687.81x = 280,030,073.34 × 280,030,073.34
  4. Step 4: Simplify right side
    137,987,687.81x = 78,416,841,976,906,000
  5. Step 5: Solve for x
    x = 78,416,841,976,906,000/137,987,687.81
  6. Step 6: Final answer
    x = 568,288,687.35

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.