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Finding the Third Proportional to 78,413.06 and 114,885.84

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Solution

The third proportional to 78,413.06 and 114,885.84 is: 168,323.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,413.06 : 114,885.84 = 114,885.84 : x
  2. Step 2: Convert to fraction form
    78,413.06/114,885.84 = 114,885.84/x
  3. Step 3: Cross multiply
    78,413.06x = 114,885.84 × 114,885.84
  4. Step 4: Simplify right side
    78,413.06x = 13,198,757,094.15
  5. Step 5: Solve for x
    x = 13,198,757,094.15/78,413.06
  6. Step 6: Final answer
    x = 168,323.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.