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Finding the Third Proportional to 68.92 and 145.10

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Solution

The third proportional to 68.92 and 145.10 is: 305.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.92 : 145.10 = 145.10 : x
  2. Step 2: Convert to fraction form
    68.92/145.10 = 145.10/x
  3. Step 3: Cross multiply
    68.92x = 145.10 × 145.10
  4. Step 4: Simplify right side
    68.92x = 21,053.61
  5. Step 5: Solve for x
    x = 21,053.61/68.92
  6. Step 6: Final answer
    x = 305.46

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.