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Finding the Third Proportional to 4,431,572 and 9,639,597

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Solution

The third proportional to 4,431,572 and 9,639,597 is: 20,968,141.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,431,572 : 9,639,597 = 9,639,597 : x
  2. Step 2: Convert to fraction form
    4,431,572/9,639,597 = 9,639,597/x
  3. Step 3: Cross multiply
    4,431,572x = 9,639,597 × 9,639,597
  4. Step 4: Simplify right side
    4,431,572x = 92,921,830,322,409
  5. Step 5: Solve for x
    x = 92,921,830,322,409/4,431,572
  6. Step 6: Final answer
    x = 20,968,141.85

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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.