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Finding the Third Proportional to 4,431,565.50 and 9,639,584.25

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Solution

The third proportional to 4,431,565.50 and 9,639,584.25 is: 20,968,117.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,431,565.50 : 9,639,584.25 = 9,639,584.25 : x
  2. Step 2: Convert to fraction form
    4,431,565.50/9,639,584.25 = 9,639,584.25/x
  3. Step 3: Cross multiply
    4,431,565.50x = 9,639,584.25 × 9,639,584.25
  4. Step 4: Simplify right side
    4,431,565.50x = 92,921,584,512,848.06
  5. Step 5: Solve for x
    x = 92,921,584,512,848.06/4,431,565.50
  6. Step 6: Final answer
    x = 20,968,117.14

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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.