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Finding the Third Proportional to 78,643 and 169,742

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Solution

The third proportional to 78,643 and 169,742 is: 366,368.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,643 : 169,742 = 169,742 : x
  2. Step 2: Convert to fraction form
    78,643/169,742 = 169,742/x
  3. Step 3: Cross multiply
    78,643x = 169,742 × 169,742
  4. Step 4: Simplify right side
    78,643x = 28,812,346,564
  5. Step 5: Solve for x
    x = 28,812,346,564/78,643
  6. Step 6: Final answer
    x = 366,368.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.