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Finding the Third Proportional to 84,159 and 218,983.50

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Solution

The third proportional to 84,159 and 218,983.50 is: 569,799.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,159 : 218,983.50 = 218,983.50 : x
  2. Step 2: Convert to fraction form
    84,159/218,983.50 = 218,983.50/x
  3. Step 3: Cross multiply
    84,159x = 218,983.50 × 218,983.50
  4. Step 4: Simplify right side
    84,159x = 47,953,773,272.25
  5. Step 5: Solve for x
    x = 47,953,773,272.25/84,159
  6. Step 6: Final answer
    x = 569,799.70

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.