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Finding the Third Proportional to 256,249.69 and 560,764.13

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Solution

The third proportional to 256,249.69 and 560,764.13 is: 1,227,148.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,249.69 : 560,764.13 = 560,764.13 : x
  2. Step 2: Convert to fraction form
    256,249.69/560,764.13 = 560,764.13/x
  3. Step 3: Cross multiply
    256,249.69x = 560,764.13 × 560,764.13
  4. Step 4: Simplify right side
    256,249.69x = 314,456,403,887.02
  5. Step 5: Solve for x
    x = 314,456,403,887.02/256,249.69
  6. Step 6: Final answer
    x = 1,227,148.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.