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Finding the Third Proportional to 313,866 and 402,996

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Solution

The third proportional to 313,866 and 402,996 is: 517,436.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,866 : 402,996 = 402,996 : x
  2. Step 2: Convert to fraction form
    313,866/402,996 = 402,996/x
  3. Step 3: Cross multiply
    313,866x = 402,996 × 402,996
  4. Step 4: Simplify right side
    313,866x = 162,405,776,016
  5. Step 5: Solve for x
    x = 162,405,776,016/313,866
  6. Step 6: Final answer
    x = 517,436.66

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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.