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Finding the Third Proportional to 76,560 and 108,883.50

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Solution

The third proportional to 76,560 and 108,883.50 is: 154,853.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,560 : 108,883.50 = 108,883.50 : x
  2. Step 2: Convert to fraction form
    76,560/108,883.50 = 108,883.50/x
  3. Step 3: Cross multiply
    76,560x = 108,883.50 × 108,883.50
  4. Step 4: Simplify right side
    76,560x = 11,855,616,572.25
  5. Step 5: Solve for x
    x = 11,855,616,572.25/76,560
  6. Step 6: Final answer
    x = 154,853.93

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.