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Finding the Third Proportional to 72,603 and 155,712.75

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Solution

The third proportional to 72,603 and 155,712.75 is: 333,959.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,603 : 155,712.75 = 155,712.75 : x
  2. Step 2: Convert to fraction form
    72,603/155,712.75 = 155,712.75/x
  3. Step 3: Cross multiply
    72,603x = 155,712.75 × 155,712.75
  4. Step 4: Simplify right side
    72,603x = 24,246,460,512.56
  5. Step 5: Solve for x
    x = 24,246,460,512.56/72,603
  6. Step 6: Final answer
    x = 333,959.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.