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Finding the Third Proportional to 768,438 and 1,234,673

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Solution

The third proportional to 768,438 and 1,234,673 is: 1,983,787.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,438 : 1,234,673 = 1,234,673 : x
  2. Step 2: Convert to fraction form
    768,438/1,234,673 = 1,234,673/x
  3. Step 3: Cross multiply
    768,438x = 1,234,673 × 1,234,673
  4. Step 4: Simplify right side
    768,438x = 1,524,417,416,929
  5. Step 5: Solve for x
    x = 1,524,417,416,929/768,438
  6. Step 6: Final answer
    x = 1,983,787.13

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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.