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Finding the Third Proportional to 53.02 and 63

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Solution

The third proportional to 53.02 and 63 is: 74.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.02 : 63 = 63 : x
  2. Step 2: Convert to fraction form
    53.02/63 = 63/x
  3. Step 3: Cross multiply
    53.02x = 63 × 63
  4. Step 4: Simplify right side
    53.02x = 3,969
  5. Step 5: Solve for x
    x = 3,969/53.02
  6. Step 6: Final answer
    x = 74.86

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.