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Finding the Third Proportional to 3,872,464.50 and 8,416,581

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Solution

The third proportional to 3,872,464.50 and 8,416,581 is: 18,292,959.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872,464.50 : 8,416,581 = 8,416,581 : x
  2. Step 2: Convert to fraction form
    3,872,464.50/8,416,581 = 8,416,581/x
  3. Step 3: Cross multiply
    3,872,464.50x = 8,416,581 × 8,416,581
  4. Step 4: Simplify right side
    3,872,464.50x = 70,838,835,729,561
  5. Step 5: Solve for x
    x = 70,838,835,729,561/3,872,464.50
  6. Step 6: Final answer
    x = 18,292,959.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.