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Finding the Third Proportional to 91,048.50 and 106,222.50

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Solution

The third proportional to 91,048.50 and 106,222.50 is: 123,925.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,048.50 : 106,222.50 = 106,222.50 : x
  2. Step 2: Convert to fraction form
    91,048.50/106,222.50 = 106,222.50/x
  3. Step 3: Cross multiply
    91,048.50x = 106,222.50 × 106,222.50
  4. Step 4: Simplify right side
    91,048.50x = 11,283,219,506.25
  5. Step 5: Solve for x
    x = 11,283,219,506.25/91,048.50
  6. Step 6: Final answer
    x = 123,925.38

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These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.