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Finding the Third Proportional to 9,662,508 and 21,061,142

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Solution

The third proportional to 9,662,508 and 21,061,142 is: 45,906,477.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662,508 : 21,061,142 = 21,061,142 : x
  2. Step 2: Convert to fraction form
    9,662,508/21,061,142 = 21,061,142/x
  3. Step 3: Cross multiply
    9,662,508x = 21,061,142 × 21,061,142
  4. Step 4: Simplify right side
    9,662,508x = 443,571,702,344,164
  5. Step 5: Solve for x
    x = 443,571,702,344,164/9,662,508
  6. Step 6: Final answer
    x = 45,906,477.11

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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.