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Finding the Third Proportional to 8,702,496 and 18,120,160

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Solution

The third proportional to 8,702,496 and 18,120,160 is: 37,729,428.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702,496 : 18,120,160 = 18,120,160 : x
  2. Step 2: Convert to fraction form
    8,702,496/18,120,160 = 18,120,160/x
  3. Step 3: Cross multiply
    8,702,496x = 18,120,160 × 18,120,160
  4. Step 4: Simplify right side
    8,702,496x = 328,340,198,425,600
  5. Step 5: Solve for x
    x = 328,340,198,425,600/8,702,496
  6. Step 6: Final answer
    x = 37,729,428.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.