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Finding the Third Proportional to 56,064 and 66,304

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Solution

The third proportional to 56,064 and 66,304 is: 78,414.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,064 : 66,304 = 66,304 : x
  2. Step 2: Convert to fraction form
    56,064/66,304 = 66,304/x
  3. Step 3: Cross multiply
    56,064x = 66,304 × 66,304
  4. Step 4: Simplify right side
    56,064x = 4,396,220,416
  5. Step 5: Solve for x
    x = 4,396,220,416/56,064
  6. Step 6: Final answer
    x = 78,414.32

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.