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Finding the Third Proportional to 142,711.24 and 313,671.23

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Solution

The third proportional to 142,711.24 and 313,671.23 is: 689,431.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,711.24 : 313,671.23 = 313,671.23 : x
  2. Step 2: Convert to fraction form
    142,711.24/313,671.23 = 313,671.23/x
  3. Step 3: Cross multiply
    142,711.24x = 313,671.23 × 313,671.23
  4. Step 4: Simplify right side
    142,711.24x = 98,389,643,274.34
  5. Step 5: Solve for x
    x = 98,389,643,274.34/142,711.24
  6. Step 6: Final answer
    x = 689,431.62

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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.