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Finding the Third Proportional to 256,315.50 and 561,991.50

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Solution

The third proportional to 256,315.50 and 561,991.50 is: 1,232,209.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,315.50 : 561,991.50 = 561,991.50 : x
  2. Step 2: Convert to fraction form
    256,315.50/561,991.50 = 561,991.50/x
  3. Step 3: Cross multiply
    256,315.50x = 561,991.50 × 561,991.50
  4. Step 4: Simplify right side
    256,315.50x = 315,834,446,072.25
  5. Step 5: Solve for x
    x = 315,834,446,072.25/256,315.50
  6. Step 6: Final answer
    x = 1,232,209.70

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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.