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Finding the Third Proportional to 5,664,446 and 12,129,820

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Solution

The third proportional to 5,664,446 and 12,129,820 is: 25,974,743.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664,446 : 12,129,820 = 12,129,820 : x
  2. Step 2: Convert to fraction form
    5,664,446/12,129,820 = 12,129,820/x
  3. Step 3: Cross multiply
    5,664,446x = 12,129,820 × 12,129,820
  4. Step 4: Simplify right side
    5,664,446x = 147,132,533,232,400
  5. Step 5: Solve for x
    x = 147,132,533,232,400/5,664,446
  6. Step 6: Final answer
    x = 25,974,743.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.