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Finding the Third Proportional to 657.33 and 1,040.58

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Solution

The third proportional to 657.33 and 1,040.58 is: 1,647.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.33 : 1,040.58 = 1,040.58 : x
  2. Step 2: Convert to fraction form
    657.33/1,040.58 = 1,040.58/x
  3. Step 3: Cross multiply
    657.33x = 1,040.58 × 1,040.58
  4. Step 4: Simplify right side
    657.33x = 1,082,808.93
  5. Step 5: Solve for x
    x = 1,082,808.93/657.33
  6. Step 6: Final answer
    x = 1,647.27

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.