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Finding the Third Proportional to 313,846.50 and 402,972.75

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Solution

The third proportional to 313,846.50 and 402,972.75 is: 517,409.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,846.50 : 402,972.75 = 402,972.75 : x
  2. Step 2: Convert to fraction form
    313,846.50/402,972.75 = 402,972.75/x
  3. Step 3: Cross multiply
    313,846.50x = 402,972.75 × 402,972.75
  4. Step 4: Simplify right side
    313,846.50x = 162,387,037,242.56
  5. Step 5: Solve for x
    x = 162,387,037,242.56/313,846.50
  6. Step 6: Final answer
    x = 517,409.11

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.