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Finding the Third Proportional to 256,287 and 382,308.75

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Solution

The third proportional to 256,287 and 382,308.75 is: 570,298.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,287 : 382,308.75 = 382,308.75 : x
  2. Step 2: Convert to fraction form
    256,287/382,308.75 = 382,308.75/x
  3. Step 3: Cross multiply
    256,287x = 382,308.75 × 382,308.75
  4. Step 4: Simplify right side
    256,287x = 146,159,980,326.56
  5. Step 5: Solve for x
    x = 146,159,980,326.56/256,287
  6. Step 6: Final answer
    x = 570,298.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.