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Finding the Third Proportional to 87,455 and 135,047

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Solution

The third proportional to 87,455 and 135,047 is: 208,538.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,455 : 135,047 = 135,047 : x
  2. Step 2: Convert to fraction form
    87,455/135,047 = 135,047/x
  3. Step 3: Cross multiply
    87,455x = 135,047 × 135,047
  4. Step 4: Simplify right side
    87,455x = 18,237,692,209
  5. Step 5: Solve for x
    x = 18,237,692,209/87,455
  6. Step 6: Final answer
    x = 208,538.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.