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Finding the Third Proportional to 81,686.50 and 124,933

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Solution

The third proportional to 81,686.50 and 124,933 is: 191,075.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,686.50 : 124,933 = 124,933 : x
  2. Step 2: Convert to fraction form
    81,686.50/124,933 = 124,933/x
  3. Step 3: Cross multiply
    81,686.50x = 124,933 × 124,933
  4. Step 4: Simplify right side
    81,686.50x = 15,608,254,489
  5. Step 5: Solve for x
    x = 15,608,254,489/81,686.50
  6. Step 6: Final answer
    x = 191,075.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.