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Finding the Third Proportional to 53.63 and 117.39

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Solution

The third proportional to 53.63 and 117.39 is: 256.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.63 : 117.39 = 117.39 : x
  2. Step 2: Convert to fraction form
    53.63/117.39 = 117.39/x
  3. Step 3: Cross multiply
    53.63x = 117.39 × 117.39
  4. Step 4: Simplify right side
    53.63x = 13,779.64
  5. Step 5: Solve for x
    x = 13,779.64/53.63
  6. Step 6: Final answer
    x = 256.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.