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Finding the Third Proportional to 315,808.88 and 485,427.38

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Solution

The third proportional to 315,808.88 and 485,427.38 is: 746,146.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,808.88 : 485,427.38 = 485,427.38 : x
  2. Step 2: Convert to fraction form
    315,808.88/485,427.38 = 485,427.38/x
  3. Step 3: Cross multiply
    315,808.88x = 485,427.38 × 485,427.38
  4. Step 4: Simplify right side
    315,808.88x = 235,639,736,399.39
  5. Step 5: Solve for x
    x = 235,639,736,399.39/315,808.88
  6. Step 6: Final answer
    x = 746,146.66

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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.