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Finding the Third Proportional to 577.55 and 1,001.95

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Solution

The third proportional to 577.55 and 1,001.95 is: 1,738.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.55 : 1,001.95 = 1,001.95 : x
  2. Step 2: Convert to fraction form
    577.55/1,001.95 = 1,001.95/x
  3. Step 3: Cross multiply
    577.55x = 1,001.95 × 1,001.95
  4. Step 4: Simplify right side
    577.55x = 1,003,910.06
  5. Step 5: Solve for x
    x = 1,003,910.06/577.55
  6. Step 6: Final answer
    x = 1,738.23

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.