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Finding the Third Proportional to 9,221,182.50 and 19,861,521.75

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Solution

The third proportional to 9,221,182.50 and 19,861,521.75 is: 42,779,767.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221,182.50 : 19,861,521.75 = 19,861,521.75 : x
  2. Step 2: Convert to fraction form
    9,221,182.50/19,861,521.75 = 19,861,521.75/x
  3. Step 3: Cross multiply
    9,221,182.50x = 19,861,521.75 × 19,861,521.75
  4. Step 4: Simplify right side
    9,221,182.50x = 394,480,046,225,723.06
  5. Step 5: Solve for x
    x = 394,480,046,225,723.06/9,221,182.50
  6. Step 6: Final answer
    x = 42,779,767.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.