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Finding the Third Proportional to 21,071.81 and 29,641.22

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Solution

The third proportional to 21,071.81 and 29,641.22 is: 41,695.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,071.81 : 29,641.22 = 29,641.22 : x
  2. Step 2: Convert to fraction form
    21,071.81/29,641.22 = 29,641.22/x
  3. Step 3: Cross multiply
    21,071.81x = 29,641.22 × 29,641.22
  4. Step 4: Simplify right side
    21,071.81x = 878,601,848.99
  5. Step 5: Solve for x
    x = 878,601,848.99/21,071.81
  6. Step 6: Final answer
    x = 41,695.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.