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Finding the Third Proportional to 215,216,291.25 and 301,991,074.88

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Solution

The third proportional to 215,216,291.25 and 301,991,074.88 is: 423,753,279.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,216,291.25 : 301,991,074.88 = 301,991,074.88 : x
  2. Step 2: Convert to fraction form
    215,216,291.25/301,991,074.88 = 301,991,074.88/x
  3. Step 3: Cross multiply
    215,216,291.25x = 301,991,074.88 × 301,991,074.88
  4. Step 4: Simplify right side
    215,216,291.25x = 91,198,609,304,157,856
  5. Step 5: Solve for x
    x = 91,198,609,304,157,856/215,216,291.25
  6. Step 6: Final answer
    x = 423,753,279.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.