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Finding the Third Proportional to 256,972.50 and 409,218.75

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Solution

The third proportional to 256,972.50 and 409,218.75 is: 651,665.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,972.50 : 409,218.75 = 409,218.75 : x
  2. Step 2: Convert to fraction form
    256,972.50/409,218.75 = 409,218.75/x
  3. Step 3: Cross multiply
    256,972.50x = 409,218.75 × 409,218.75
  4. Step 4: Simplify right side
    256,972.50x = 167,459,985,351.56
  5. Step 5: Solve for x
    x = 167,459,985,351.56/256,972.50
  6. Step 6: Final answer
    x = 651,665.00

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.