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Finding the Third Proportional to 36,430 and 55,400

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Solution

The third proportional to 36,430 and 55,400 is: 84,248.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,430 : 55,400 = 55,400 : x
  2. Step 2: Convert to fraction form
    36,430/55,400 = 55,400/x
  3. Step 3: Cross multiply
    36,430x = 55,400 × 55,400
  4. Step 4: Simplify right side
    36,430x = 3,069,160,000
  5. Step 5: Solve for x
    x = 3,069,160,000/36,430
  6. Step 6: Final answer
    x = 84,248.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.