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Finding the Third Proportional to 256,531.50 and 556,875

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Solution

The third proportional to 256,531.50 and 556,875 is: 1,208,856.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,531.50 : 556,875 = 556,875 : x
  2. Step 2: Convert to fraction form
    256,531.50/556,875 = 556,875/x
  3. Step 3: Cross multiply
    256,531.50x = 556,875 × 556,875
  4. Step 4: Simplify right side
    256,531.50x = 310,109,765,625
  5. Step 5: Solve for x
    x = 310,109,765,625/256,531.50
  6. Step 6: Final answer
    x = 1,208,856.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.