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Finding the Third Proportional to 64.87 and 141.76

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Solution

The third proportional to 64.87 and 141.76 is: 309.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.87 : 141.76 = 141.76 : x
  2. Step 2: Convert to fraction form
    64.87/141.76 = 141.76/x
  3. Step 3: Cross multiply
    64.87x = 141.76 × 141.76
  4. Step 4: Simplify right side
    64.87x = 20,095.87
  5. Step 5: Solve for x
    x = 20,095.87/64.87
  6. Step 6: Final answer
    x = 309.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.