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Finding the Third Proportional to 256,587.75 and 397,334.25

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Solution

The third proportional to 256,587.75 and 397,334.25 is: 615,284.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,587.75 : 397,334.25 = 397,334.25 : x
  2. Step 2: Convert to fraction form
    256,587.75/397,334.25 = 397,334.25/x
  3. Step 3: Cross multiply
    256,587.75x = 397,334.25 × 397,334.25
  4. Step 4: Simplify right side
    256,587.75x = 157,874,506,223.06
  5. Step 5: Solve for x
    x = 157,874,506,223.06/256,587.75
  6. Step 6: Final answer
    x = 615,284.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.