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Finding the Third Proportional to 313,861 and 402,991.50

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Solution

The third proportional to 313,861 and 402,991.50 is: 517,433.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,861 : 402,991.50 = 402,991.50 : x
  2. Step 2: Convert to fraction form
    313,861/402,991.50 = 402,991.50/x
  3. Step 3: Cross multiply
    313,861x = 402,991.50 × 402,991.50
  4. Step 4: Simplify right side
    313,861x = 162,402,149,072.25
  5. Step 5: Solve for x
    x = 162,402,149,072.25/313,861
  6. Step 6: Final answer
    x = 517,433.35

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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.