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Finding the Third Proportional to 145.13 and 247.78

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Solution

The third proportional to 145.13 and 247.78 is: 423.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.13 : 247.78 = 247.78 : x
  2. Step 2: Convert to fraction form
    145.13/247.78 = 247.78/x
  3. Step 3: Cross multiply
    145.13x = 247.78 × 247.78
  4. Step 4: Simplify right side
    145.13x = 61,395.55
  5. Step 5: Solve for x
    x = 61,395.55/145.13
  6. Step 6: Final answer
    x = 423.05

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.