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Finding the Third Proportional to 61,036.50 and 91,494.50

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Solution

The third proportional to 61,036.50 and 91,494.50 is: 137,151.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,036.50 : 91,494.50 = 91,494.50 : x
  2. Step 2: Convert to fraction form
    61,036.50/91,494.50 = 91,494.50/x
  3. Step 3: Cross multiply
    61,036.50x = 91,494.50 × 91,494.50
  4. Step 4: Simplify right side
    61,036.50x = 8,371,243,530.25
  5. Step 5: Solve for x
    x = 8,371,243,530.25/61,036.50
  6. Step 6: Final answer
    x = 137,151.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.