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Finding the Third Proportional to 485,995 and 654,246

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Solution

The third proportional to 485,995 and 654,246 is: 880,745.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,995 : 654,246 = 654,246 : x
  2. Step 2: Convert to fraction form
    485,995/654,246 = 654,246/x
  3. Step 3: Cross multiply
    485,995x = 654,246 × 654,246
  4. Step 4: Simplify right side
    485,995x = 428,037,828,516
  5. Step 5: Solve for x
    x = 428,037,828,516/485,995
  6. Step 6: Final answer
    x = 880,745.33

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.