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Finding the Third Proportional to 8,470 and 11,426

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Solution

The third proportional to 8,470 and 11,426 is: 15,413.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470 : 11,426 = 11,426 : x
  2. Step 2: Convert to fraction form
    8,470/11,426 = 11,426/x
  3. Step 3: Cross multiply
    8,470x = 11,426 × 11,426
  4. Step 4: Simplify right side
    8,470x = 130,553,476
  5. Step 5: Solve for x
    x = 130,553,476/8,470
  6. Step 6: Final answer
    x = 15,413.63

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.