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Finding the Third Proportional to 8,689,680 and 12,154,464

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Solution

The third proportional to 8,689,680 and 12,154,464 is: 17,000,740.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,689,680 : 12,154,464 = 12,154,464 : x
  2. Step 2: Convert to fraction form
    8,689,680/12,154,464 = 12,154,464/x
  3. Step 3: Cross multiply
    8,689,680x = 12,154,464 × 12,154,464
  4. Step 4: Simplify right side
    8,689,680x = 147,730,995,127,296
  5. Step 5: Solve for x
    x = 147,730,995,127,296/8,689,680
  6. Step 6: Final answer
    x = 17,000,740.55

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.