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Finding the Third Proportional to 315,800.25 and 485,412.75

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Solution

The third proportional to 315,800.25 and 485,412.75 is: 746,122.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,800.25 : 485,412.75 = 485,412.75 : x
  2. Step 2: Convert to fraction form
    315,800.25/485,412.75 = 485,412.75/x
  3. Step 3: Cross multiply
    315,800.25x = 485,412.75 × 485,412.75
  4. Step 4: Simplify right side
    315,800.25x = 235,625,537,862.56
  5. Step 5: Solve for x
    x = 235,625,537,862.56/315,800.25
  6. Step 6: Final answer
    x = 746,122.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.