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Finding the Third Proportional to 142,502 and 313,442

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Solution

The third proportional to 142,502 and 313,442 is: 689,435.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,502 : 313,442 = 313,442 : x
  2. Step 2: Convert to fraction form
    142,502/313,442 = 313,442/x
  3. Step 3: Cross multiply
    142,502x = 313,442 × 313,442
  4. Step 4: Simplify right side
    142,502x = 98,245,887,364
  5. Step 5: Solve for x
    x = 98,245,887,364/142,502
  6. Step 6: Final answer
    x = 689,435.15

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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.