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Finding the Third Proportional to 577.55 and 846.91

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Solution

The third proportional to 577.55 and 846.91 is: 1,241.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.55 : 846.91 = 846.91 : x
  2. Step 2: Convert to fraction form
    577.55/846.91 = 846.91/x
  3. Step 3: Cross multiply
    577.55x = 846.91 × 846.91
  4. Step 4: Simplify right side
    577.55x = 717,263.43
  5. Step 5: Solve for x
    x = 717,263.43/577.55
  6. Step 6: Final answer
    x = 1,241.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.