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Finding the Third Proportional to 80,490 and 127,641

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Solution

The third proportional to 80,490 and 127,641 is: 202,413.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,490 : 127,641 = 127,641 : x
  2. Step 2: Convert to fraction form
    80,490/127,641 = 127,641/x
  3. Step 3: Cross multiply
    80,490x = 127,641 × 127,641
  4. Step 4: Simplify right side
    80,490x = 16,292,224,881
  5. Step 5: Solve for x
    x = 16,292,224,881/80,490
  6. Step 6: Final answer
    x = 202,413.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.