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Finding the Third Proportional to 14,553 and 34,209

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Solution

The third proportional to 14,553 and 34,209 is: 80,413.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,553 : 34,209 = 34,209 : x
  2. Step 2: Convert to fraction form
    14,553/34,209 = 34,209/x
  3. Step 3: Cross multiply
    14,553x = 34,209 × 34,209
  4. Step 4: Simplify right side
    14,553x = 1,170,255,681
  5. Step 5: Solve for x
    x = 1,170,255,681/14,553
  6. Step 6: Final answer
    x = 80,413.36

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.