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Finding the Third Proportional to 768,416 and 1,234,640

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Solution

The third proportional to 768,416 and 1,234,640 is: 1,983,737.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,416 : 1,234,640 = 1,234,640 : x
  2. Step 2: Convert to fraction form
    768,416/1,234,640 = 1,234,640/x
  3. Step 3: Cross multiply
    768,416x = 1,234,640 × 1,234,640
  4. Step 4: Simplify right side
    768,416x = 1,524,335,929,600
  5. Step 5: Solve for x
    x = 1,524,335,929,600/768,416
  6. Step 6: Final answer
    x = 1,983,737.88

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.