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Finding the Third Proportional to 657.18 and 1,436.80

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Solution

The third proportional to 657.18 and 1,436.80 is: 3,141.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.18 : 1,436.80 = 1,436.80 : x
  2. Step 2: Convert to fraction form
    657.18/1,436.80 = 1,436.80/x
  3. Step 3: Cross multiply
    657.18x = 1,436.80 × 1,436.80
  4. Step 4: Simplify right side
    657.18x = 2,064,396.49
  5. Step 5: Solve for x
    x = 2,064,396.49/657.18
  6. Step 6: Final answer
    x = 3,141.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.