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Finding the Third Proportional to 259,696.13 and 391,255.31

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Solution

The third proportional to 259,696.13 and 391,255.31 is: 589,460.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,696.13 : 391,255.31 = 391,255.31 : x
  2. Step 2: Convert to fraction form
    259,696.13/391,255.31 = 391,255.31/x
  3. Step 3: Cross multiply
    259,696.13x = 391,255.31 × 391,255.31
  4. Step 4: Simplify right side
    259,696.13x = 153,080,719,559.47
  5. Step 5: Solve for x
    x = 153,080,719,559.47/259,696.13
  6. Step 6: Final answer
    x = 589,460.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.