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Finding the Third Proportional to 142,942 and 313,883

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Solution

The third proportional to 142,942 and 313,883 is: 689,248.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,942 : 313,883 = 313,883 : x
  2. Step 2: Convert to fraction form
    142,942/313,883 = 313,883/x
  3. Step 3: Cross multiply
    142,942x = 313,883 × 313,883
  4. Step 4: Simplify right side
    142,942x = 98,522,537,689
  5. Step 5: Solve for x
    x = 98,522,537,689/142,942
  6. Step 6: Final answer
    x = 689,248.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.