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Finding the Third Proportional to 265,983.75 and 398,009.25

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Solution

The third proportional to 265,983.75 and 398,009.25 is: 595,567.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,983.75 : 398,009.25 = 398,009.25 : x
  2. Step 2: Convert to fraction form
    265,983.75/398,009.25 = 398,009.25/x
  3. Step 3: Cross multiply
    265,983.75x = 398,009.25 × 398,009.25
  4. Step 4: Simplify right side
    265,983.75x = 158,411,363,085.56
  5. Step 5: Solve for x
    x = 158,411,363,085.56/265,983.75
  6. Step 6: Final answer
    x = 595,567.82

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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.