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Finding the Third Proportional to 53.63 and 87.35

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Solution

The third proportional to 53.63 and 87.35 is: 142.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.63 : 87.35 = 87.35 : x
  2. Step 2: Convert to fraction form
    53.63/87.35 = 87.35/x
  3. Step 3: Cross multiply
    53.63x = 87.35 × 87.35
  4. Step 4: Simplify right side
    53.63x = 7,630.81
  5. Step 5: Solve for x
    x = 7,630.81/53.63
  6. Step 6: Final answer
    x = 142.28

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.