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Finding the Third Proportional to 72,776 and 115,725

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Solution

The third proportional to 72,776 and 115,725 is: 184,020.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,776 : 115,725 = 115,725 : x
  2. Step 2: Convert to fraction form
    72,776/115,725 = 115,725/x
  3. Step 3: Cross multiply
    72,776x = 115,725 × 115,725
  4. Step 4: Simplify right side
    72,776x = 13,392,275,625
  5. Step 5: Solve for x
    x = 13,392,275,625/72,776
  6. Step 6: Final answer
    x = 184,020.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.