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Finding the Third Proportional to 134,170 and 287,127

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Solution

The third proportional to 134,170 and 287,127 is: 614,458.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,170 : 287,127 = 287,127 : x
  2. Step 2: Convert to fraction form
    134,170/287,127 = 287,127/x
  3. Step 3: Cross multiply
    134,170x = 287,127 × 287,127
  4. Step 4: Simplify right side
    134,170x = 82,441,914,129
  5. Step 5: Solve for x
    x = 82,441,914,129/134,170
  6. Step 6: Final answer
    x = 614,458.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.