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Finding the Third Proportional to 135,594 and 205,143

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Solution

The third proportional to 135,594 and 205,143 is: 310,365.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,594 : 205,143 = 205,143 : x
  2. Step 2: Convert to fraction form
    135,594/205,143 = 205,143/x
  3. Step 3: Cross multiply
    135,594x = 205,143 × 205,143
  4. Step 4: Simplify right side
    135,594x = 42,083,650,449
  5. Step 5: Solve for x
    x = 42,083,650,449/135,594
  6. Step 6: Final answer
    x = 310,365.14

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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.