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Finding the Third Proportional to 52,455.50 and 81,788

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Solution

The third proportional to 52,455.50 and 81,788 is: 127,522.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,455.50 : 81,788 = 81,788 : x
  2. Step 2: Convert to fraction form
    52,455.50/81,788 = 81,788/x
  3. Step 3: Cross multiply
    52,455.50x = 81,788 × 81,788
  4. Step 4: Simplify right side
    52,455.50x = 6,689,276,944
  5. Step 5: Solve for x
    x = 6,689,276,944/52,455.50
  6. Step 6: Final answer
    x = 127,522.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.