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Finding the Third Proportional to 88,948 and 137,350.50

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Solution

The third proportional to 88,948 and 137,350.50 is: 212,092.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,948 : 137,350.50 = 137,350.50 : x
  2. Step 2: Convert to fraction form
    88,948/137,350.50 = 137,350.50/x
  3. Step 3: Cross multiply
    88,948x = 137,350.50 × 137,350.50
  4. Step 4: Simplify right side
    88,948x = 18,865,159,850.25
  5. Step 5: Solve for x
    x = 18,865,159,850.25/88,948
  6. Step 6: Final answer
    x = 212,092.01

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.