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Finding the Third Proportional to 84,820 and 134,288

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Solution

The third proportional to 84,820 and 134,288 is: 212,606.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,820 : 134,288 = 134,288 : x
  2. Step 2: Convert to fraction form
    84,820/134,288 = 134,288/x
  3. Step 3: Cross multiply
    84,820x = 134,288 × 134,288
  4. Step 4: Simplify right side
    84,820x = 18,033,266,944
  5. Step 5: Solve for x
    x = 18,033,266,944/84,820
  6. Step 6: Final answer
    x = 212,606.31

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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.