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Finding the Third Proportional to 310,314.80 and 416,187.81

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Solution

The third proportional to 310,314.80 and 416,187.81 is: 558,182.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,314.80 : 416,187.81 = 416,187.81 : x
  2. Step 2: Convert to fraction form
    310,314.80/416,187.81 = 416,187.81/x
  3. Step 3: Cross multiply
    310,314.80x = 416,187.81 × 416,187.81
  4. Step 4: Simplify right side
    310,314.80x = 173,212,292,022.08
  5. Step 5: Solve for x
    x = 173,212,292,022.08/310,314.80
  6. Step 6: Final answer
    x = 558,182.51

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.