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Finding the Third Proportional to 92,643 and 180,678

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Solution

The third proportional to 92,643 and 180,678 is: 352,369.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,643 : 180,678 = 180,678 : x
  2. Step 2: Convert to fraction form
    92,643/180,678 = 180,678/x
  3. Step 3: Cross multiply
    92,643x = 180,678 × 180,678
  4. Step 4: Simplify right side
    92,643x = 32,644,539,684
  5. Step 5: Solve for x
    x = 32,644,539,684/92,643
  6. Step 6: Final answer
    x = 352,369.20

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.