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Finding the Third Proportional to 377.47 and 577.19

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Solution

The third proportional to 377.47 and 577.19 is: 882.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.47 : 577.19 = 577.19 : x
  2. Step 2: Convert to fraction form
    377.47/577.19 = 577.19/x
  3. Step 3: Cross multiply
    377.47x = 577.19 × 577.19
  4. Step 4: Simplify right side
    377.47x = 333,145.41
  5. Step 5: Solve for x
    x = 333,145.41/377.47
  6. Step 6: Final answer
    x = 882.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.