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Finding the Third Proportional to 8,427,822 and 18,134,730

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Solution

The third proportional to 8,427,822 and 18,134,730 is: 39,021,758.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427,822 : 18,134,730 = 18,134,730 : x
  2. Step 2: Convert to fraction form
    8,427,822/18,134,730 = 18,134,730/x
  3. Step 3: Cross multiply
    8,427,822x = 18,134,730 × 18,134,730
  4. Step 4: Simplify right side
    8,427,822x = 328,868,432,172,900
  5. Step 5: Solve for x
    x = 328,868,432,172,900/8,427,822
  6. Step 6: Final answer
    x = 39,021,758.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.