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Finding the Third Proportional to 5,744,566 and 12,446,552

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Solution

The third proportional to 5,744,566 and 12,446,552 is: 26,967,512.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744,566 : 12,446,552 = 12,446,552 : x
  2. Step 2: Convert to fraction form
    5,744,566/12,446,552 = 12,446,552/x
  3. Step 3: Cross multiply
    5,744,566x = 12,446,552 × 12,446,552
  4. Step 4: Simplify right side
    5,744,566x = 154,916,656,688,704
  5. Step 5: Solve for x
    x = 154,916,656,688,704/5,744,566
  6. Step 6: Final answer
    x = 26,967,512.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.