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Finding the Third Proportional to 8,506,782 and 12,917,448

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Solution

The third proportional to 8,506,782 and 12,917,448 is: 19,614,992.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506,782 : 12,917,448 = 12,917,448 : x
  2. Step 2: Convert to fraction form
    8,506,782/12,917,448 = 12,917,448/x
  3. Step 3: Cross multiply
    8,506,782x = 12,917,448 × 12,917,448
  4. Step 4: Simplify right side
    8,506,782x = 166,860,462,832,704
  5. Step 5: Solve for x
    x = 166,860,462,832,704/8,506,782
  6. Step 6: Final answer
    x = 19,614,992.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.