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Finding the Third Proportional to 90,288,964.50 and 138,347,950.50

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Solution

The third proportional to 90,288,964.50 and 138,347,950.50 is: 211,987,760.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,288,964.50 : 138,347,950.50 = 138,347,950.50 : x
  2. Step 2: Convert to fraction form
    90,288,964.50/138,347,950.50 = 138,347,950.50/x
  3. Step 3: Cross multiply
    90,288,964.50x = 138,347,950.50 × 138,347,950.50
  4. Step 4: Simplify right side
    90,288,964.50x = 19,140,155,407,550,452
  5. Step 5: Solve for x
    x = 19,140,155,407,550,452/90,288,964.50
  6. Step 6: Final answer
    x = 211,987,760.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.