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Finding the Third Proportional to 142,766 and 313,780

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Solution

The third proportional to 142,766 and 313,780 is: 689,645.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,766 : 313,780 = 313,780 : x
  2. Step 2: Convert to fraction form
    142,766/313,780 = 313,780/x
  3. Step 3: Cross multiply
    142,766x = 313,780 × 313,780
  4. Step 4: Simplify right side
    142,766x = 98,457,888,400
  5. Step 5: Solve for x
    x = 98,457,888,400/142,766
  6. Step 6: Final answer
    x = 689,645.21

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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.