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Finding the Third Proportional to 91,153.50 and 137,989.50

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Solution

The third proportional to 91,153.50 and 137,989.50 is: 208,890.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,153.50 : 137,989.50 = 137,989.50 : x
  2. Step 2: Convert to fraction form
    91,153.50/137,989.50 = 137,989.50/x
  3. Step 3: Cross multiply
    91,153.50x = 137,989.50 × 137,989.50
  4. Step 4: Simplify right side
    91,153.50x = 19,041,102,110.25
  5. Step 5: Solve for x
    x = 19,041,102,110.25/91,153.50
  6. Step 6: Final answer
    x = 208,890.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.