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Finding the Third Proportional to 135,710 and 205,050

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Solution

The third proportional to 135,710 and 205,050 is: 309,818.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,710 : 205,050 = 205,050 : x
  2. Step 2: Convert to fraction form
    135,710/205,050 = 205,050/x
  3. Step 3: Cross multiply
    135,710x = 205,050 × 205,050
  4. Step 4: Simplify right side
    135,710x = 42,045,502,500
  5. Step 5: Solve for x
    x = 42,045,502,500/135,710
  6. Step 6: Final answer
    x = 309,818.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.