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Finding the Third Proportional to 8,409 and 19,822.22

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Solution

The third proportional to 8,409 and 19,822.22 is: 46,726.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409 : 19,822.22 = 19,822.22 : x
  2. Step 2: Convert to fraction form
    8,409/19,822.22 = 19,822.22/x
  3. Step 3: Cross multiply
    8,409x = 19,822.22 × 19,822.22
  4. Step 4: Simplify right side
    8,409x = 392,920,356.17
  5. Step 5: Solve for x
    x = 392,920,356.17/8,409
  6. Step 6: Final answer
    x = 46,726.17

Related Problems

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.