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Finding the Third Proportional to 427,712.06 and 662,041.69

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Solution

The third proportional to 427,712.06 and 662,041.69 is: 1,024,752.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,712.06 : 662,041.69 = 662,041.69 : x
  2. Step 2: Convert to fraction form
    427,712.06/662,041.69 = 662,041.69/x
  3. Step 3: Cross multiply
    427,712.06x = 662,041.69 × 662,041.69
  4. Step 4: Simplify right side
    427,712.06x = 438,299,195,987.85
  5. Step 5: Solve for x
    x = 438,299,195,987.85/427,712.06
  6. Step 6: Final answer
    x = 1,024,752.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.