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Finding the Third Proportional to 78,454 and 169,787

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Solution

The third proportional to 78,454 and 169,787 is: 367,446.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,454 : 169,787 = 169,787 : x
  2. Step 2: Convert to fraction form
    78,454/169,787 = 169,787/x
  3. Step 3: Cross multiply
    78,454x = 169,787 × 169,787
  4. Step 4: Simplify right side
    78,454x = 28,827,625,369
  5. Step 5: Solve for x
    x = 28,827,625,369/78,454
  6. Step 6: Final answer
    x = 367,446.22

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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.