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Finding the Third Proportional to 81,607.50 and 124,362

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Solution

The third proportional to 81,607.50 and 124,362 is: 189,515.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,607.50 : 124,362 = 124,362 : x
  2. Step 2: Convert to fraction form
    81,607.50/124,362 = 124,362/x
  3. Step 3: Cross multiply
    81,607.50x = 124,362 × 124,362
  4. Step 4: Simplify right side
    81,607.50x = 15,465,907,044
  5. Step 5: Solve for x
    x = 15,465,907,044/81,607.50
  6. Step 6: Final answer
    x = 189,515.76

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.