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Finding the Third Proportional to 36,492 and 78,681

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Solution

The third proportional to 36,492 and 78,681 is: 169,645.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,492 : 78,681 = 78,681 : x
  2. Step 2: Convert to fraction form
    36,492/78,681 = 78,681/x
  3. Step 3: Cross multiply
    36,492x = 78,681 × 78,681
  4. Step 4: Simplify right side
    36,492x = 6,190,699,761
  5. Step 5: Solve for x
    x = 6,190,699,761/36,492
  6. Step 6: Final answer
    x = 169,645.40

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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.