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Finding the Third Proportional to 72,678 and 155,862.75

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Solution

The third proportional to 72,678 and 155,862.75 is: 334,257.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,678 : 155,862.75 = 155,862.75 : x
  2. Step 2: Convert to fraction form
    72,678/155,862.75 = 155,862.75/x
  3. Step 3: Cross multiply
    72,678x = 155,862.75 × 155,862.75
  4. Step 4: Simplify right side
    72,678x = 24,293,196,837.56
  5. Step 5: Solve for x
    x = 24,293,196,837.56/72,678
  6. Step 6: Final answer
    x = 334,257.92

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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.