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Finding the Third Proportional to 56.07 and 90.04

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Solution

The third proportional to 56.07 and 90.04 is: 144.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.07 : 90.04 = 90.04 : x
  2. Step 2: Convert to fraction form
    56.07/90.04 = 90.04/x
  3. Step 3: Cross multiply
    56.07x = 90.04 × 90.04
  4. Step 4: Simplify right side
    56.07x = 8,106.33
  5. Step 5: Solve for x
    x = 8,106.33/56.07
  6. Step 6: Final answer
    x = 144.56

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.