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Finding the Third Proportional to 9,887,468 and 21,660,085

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Solution

The third proportional to 9,887,468 and 21,660,085 is: 47,449,891.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,887,468 : 21,660,085 = 21,660,085 : x
  2. Step 2: Convert to fraction form
    9,887,468/21,660,085 = 21,660,085/x
  3. Step 3: Cross multiply
    9,887,468x = 21,660,085 × 21,660,085
  4. Step 4: Simplify right side
    9,887,468x = 469,159,282,207,225
  5. Step 5: Solve for x
    x = 469,159,282,207,225/9,887,468
  6. Step 6: Final answer
    x = 47,449,891.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.