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Finding the Third Proportional to 678,209.20 and 934,264.76

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Solution

The third proportional to 678,209.20 and 934,264.76 is: 1,286,993.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,209.20 : 934,264.76 = 934,264.76 : x
  2. Step 2: Convert to fraction form
    678,209.20/934,264.76 = 934,264.76/x
  3. Step 3: Cross multiply
    678,209.20x = 934,264.76 × 934,264.76
  4. Step 4: Simplify right side
    678,209.20x = 872,850,637,690.45
  5. Step 5: Solve for x
    x = 872,850,637,690.45/678,209.20
  6. Step 6: Final answer
    x = 1,286,993.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.