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Finding the Third Proportional to 256,585.50 and 397,332

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Solution

The third proportional to 256,585.50 and 397,332 is: 615,283.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,585.50 : 397,332 = 397,332 : x
  2. Step 2: Convert to fraction form
    256,585.50/397,332 = 397,332/x
  3. Step 3: Cross multiply
    256,585.50x = 397,332 × 397,332
  4. Step 4: Simplify right side
    256,585.50x = 157,872,718,224
  5. Step 5: Solve for x
    x = 157,872,718,224/256,585.50
  6. Step 6: Final answer
    x = 615,283.09

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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.