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Finding the Third Proportional to 256,720.88 and 572,470.50

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Solution

The third proportional to 256,720.88 and 572,470.50 is: 1,276,571.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,720.88 : 572,470.50 = 572,470.50 : x
  2. Step 2: Convert to fraction form
    256,720.88/572,470.50 = 572,470.50/x
  3. Step 3: Cross multiply
    256,720.88x = 572,470.50 × 572,470.50
  4. Step 4: Simplify right side
    256,720.88x = 327,722,473,370.25
  5. Step 5: Solve for x
    x = 327,722,473,370.25/256,720.88
  6. Step 6: Final answer
    x = 1,276,571.19

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.