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Finding the Third Proportional to 135,983 and 288,174

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Solution

The third proportional to 135,983 and 288,174 is: 610,695.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,983 : 288,174 = 288,174 : x
  2. Step 2: Convert to fraction form
    135,983/288,174 = 288,174/x
  3. Step 3: Cross multiply
    135,983x = 288,174 × 288,174
  4. Step 4: Simplify right side
    135,983x = 83,044,254,276
  5. Step 5: Solve for x
    x = 83,044,254,276/135,983
  6. Step 6: Final answer
    x = 610,695.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.