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Finding the Third Proportional to 81,985.50 and 124,678.50

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Solution

The third proportional to 81,985.50 and 124,678.50 is: 189,603.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,985.50 : 124,678.50 = 124,678.50 : x
  2. Step 2: Convert to fraction form
    81,985.50/124,678.50 = 124,678.50/x
  3. Step 3: Cross multiply
    81,985.50x = 124,678.50 × 124,678.50
  4. Step 4: Simplify right side
    81,985.50x = 15,544,728,362.25
  5. Step 5: Solve for x
    x = 15,544,728,362.25/81,985.50
  6. Step 6: Final answer
    x = 189,603.39

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Why These Related Problems?

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