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Finding the Third Proportional to 21,110 and 28,335

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Solution

The third proportional to 21,110 and 28,335 is: 38,032.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,110 : 28,335 = 28,335 : x
  2. Step 2: Convert to fraction form
    21,110/28,335 = 28,335/x
  3. Step 3: Cross multiply
    21,110x = 28,335 × 28,335
  4. Step 4: Simplify right side
    21,110x = 802,872,225
  5. Step 5: Solve for x
    x = 802,872,225/21,110
  6. Step 6: Final answer
    x = 38,032.79

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.