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Finding the Third Proportional to 315,829.76 and 485,943.05

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Solution

The third proportional to 315,829.76 and 485,943.05 is: 747,683.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,829.76 : 485,943.05 = 485,943.05 : x
  2. Step 2: Convert to fraction form
    315,829.76/485,943.05 = 485,943.05/x
  3. Step 3: Cross multiply
    315,829.76x = 485,943.05 × 485,943.05
  4. Step 4: Simplify right side
    315,829.76x = 236,140,644,806.16
  5. Step 5: Solve for x
    x = 236,140,644,806.16/315,829.76
  6. Step 6: Final answer
    x = 747,683.33

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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.