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Finding the Third Proportional to 8,653,142 and 13,451,700

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Solution

The third proportional to 8,653,142 and 13,451,700 is: 20,911,275.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,653,142 : 13,451,700 = 13,451,700 : x
  2. Step 2: Convert to fraction form
    8,653,142/13,451,700 = 13,451,700/x
  3. Step 3: Cross multiply
    8,653,142x = 13,451,700 × 13,451,700
  4. Step 4: Simplify right side
    8,653,142x = 180,948,232,890,000
  5. Step 5: Solve for x
    x = 180,948,232,890,000/8,653,142
  6. Step 6: Final answer
    x = 20,911,275.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.