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Finding the Third Proportional to 44,262 and 97,413.75

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Solution

The third proportional to 44,262 and 97,413.75 is: 214,392.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,262 : 97,413.75 = 97,413.75 : x
  2. Step 2: Convert to fraction form
    44,262/97,413.75 = 97,413.75/x
  3. Step 3: Cross multiply
    44,262x = 97,413.75 × 97,413.75
  4. Step 4: Simplify right side
    44,262x = 9,489,438,689.06
  5. Step 5: Solve for x
    x = 9,489,438,689.06/44,262
  6. Step 6: Final answer
    x = 214,392.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.