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Finding the Third Proportional to 313,858 and 402,987

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Solution

The third proportional to 313,858 and 402,987 is: 517,426.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,858 : 402,987 = 402,987 : x
  2. Step 2: Convert to fraction form
    313,858/402,987 = 402,987/x
  3. Step 3: Cross multiply
    313,858x = 402,987 × 402,987
  4. Step 4: Simplify right side
    313,858x = 162,398,522,169
  5. Step 5: Solve for x
    x = 162,398,522,169/313,858
  6. Step 6: Final answer
    x = 517,426.74

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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.