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Finding the Third Proportional to 72,045 and 168,282

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Solution

The third proportional to 72,045 and 168,282 is: 393,071.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,045 : 168,282 = 168,282 : x
  2. Step 2: Convert to fraction form
    72,045/168,282 = 168,282/x
  3. Step 3: Cross multiply
    72,045x = 168,282 × 168,282
  4. Step 4: Simplify right side
    72,045x = 28,318,831,524
  5. Step 5: Solve for x
    x = 28,318,831,524/72,045
  6. Step 6: Final answer
    x = 393,071.43

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.