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Finding the Third Proportional to 259,725.38 and 390,340.13

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Solution

The third proportional to 259,725.38 and 390,340.13 is: 586,640.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,725.38 : 390,340.13 = 390,340.13 : x
  2. Step 2: Convert to fraction form
    259,725.38/390,340.13 = 390,340.13/x
  3. Step 3: Cross multiply
    259,725.38x = 390,340.13 × 390,340.13
  4. Step 4: Simplify right side
    259,725.38x = 152,365,413,185.02
  5. Step 5: Solve for x
    x = 152,365,413,185.02/259,725.38
  6. Step 6: Final answer
    x = 586,640.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.