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Finding the Third Proportional to 142,413.19 and 303,894

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Solution

The third proportional to 142,413.19 and 303,894 is: 648,476.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,413.19 : 303,894 = 303,894 : x
  2. Step 2: Convert to fraction form
    142,413.19/303,894 = 303,894/x
  3. Step 3: Cross multiply
    142,413.19x = 303,894 × 303,894
  4. Step 4: Simplify right side
    142,413.19x = 92,351,563,236
  5. Step 5: Solve for x
    x = 92,351,563,236/142,413.19
  6. Step 6: Final answer
    x = 648,476.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.