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Finding the Third Proportional to 9,785 and 21,415

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Solution

The third proportional to 9,785 and 21,415 is: 46,867.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785 : 21,415 = 21,415 : x
  2. Step 2: Convert to fraction form
    9,785/21,415 = 21,415/x
  3. Step 3: Cross multiply
    9,785x = 21,415 × 21,415
  4. Step 4: Simplify right side
    9,785x = 458,602,225
  5. Step 5: Solve for x
    x = 458,602,225/9,785
  6. Step 6: Final answer
    x = 46,867.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.