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Finding the Third Proportional to 120,989.25 and 277,705.13

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Solution

The third proportional to 120,989.25 and 277,705.13 is: 637,413.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,989.25 : 277,705.13 = 277,705.13 : x
  2. Step 2: Convert to fraction form
    120,989.25/277,705.13 = 277,705.13/x
  3. Step 3: Cross multiply
    120,989.25x = 277,705.13 × 277,705.13
  4. Step 4: Simplify right side
    120,989.25x = 77,120,136,451.27
  5. Step 5: Solve for x
    x = 77,120,136,451.27/120,989.25
  6. Step 6: Final answer
    x = 637,413.13

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.