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Finding the Third Proportional to 21,258 and 29,720.25

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Solution

The third proportional to 21,258 and 29,720.25 is: 41,551.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,258 : 29,720.25 = 29,720.25 : x
  2. Step 2: Convert to fraction form
    21,258/29,720.25 = 29,720.25/x
  3. Step 3: Cross multiply
    21,258x = 29,720.25 × 29,720.25
  4. Step 4: Simplify right side
    21,258x = 883,293,260.06
  5. Step 5: Solve for x
    x = 883,293,260.06/21,258
  6. Step 6: Final answer
    x = 41,551.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.