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Finding the Third Proportional to 259,620.75 and 392,888.25

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Solution

The third proportional to 259,620.75 and 392,888.25 is: 594,564.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,620.75 : 392,888.25 = 392,888.25 : x
  2. Step 2: Convert to fraction form
    259,620.75/392,888.25 = 392,888.25/x
  3. Step 3: Cross multiply
    259,620.75x = 392,888.25 × 392,888.25
  4. Step 4: Simplify right side
    259,620.75x = 154,361,176,988.06
  5. Step 5: Solve for x
    x = 154,361,176,988.06/259,620.75
  6. Step 6: Final answer
    x = 594,564.10

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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.