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Finding the Third Proportional to 245.85 and 577.20

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Solution

The third proportional to 245.85 and 577.20 is: 1,355.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.85 : 577.20 = 577.20 : x
  2. Step 2: Convert to fraction form
    245.85/577.20 = 577.20/x
  3. Step 3: Cross multiply
    245.85x = 577.20 × 577.20
  4. Step 4: Simplify right side
    245.85x = 333,164.48
  5. Step 5: Solve for x
    x = 333,164.48/245.85
  6. Step 6: Final answer
    x = 1,355.17

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.