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Finding the Third Proportional to 81,410 and 128,671

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Solution

The third proportional to 81,410 and 128,671 is: 203,368.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,410 : 128,671 = 128,671 : x
  2. Step 2: Convert to fraction form
    81,410/128,671 = 128,671/x
  3. Step 3: Cross multiply
    81,410x = 128,671 × 128,671
  4. Step 4: Simplify right side
    81,410x = 16,556,226,241
  5. Step 5: Solve for x
    x = 16,556,226,241/81,410
  6. Step 6: Final answer
    x = 203,368.46

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.