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Finding the Third Proportional to 66,028 and 89,713

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Solution

The third proportional to 66,028 and 89,713 is: 121,894.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,028 : 89,713 = 89,713 : x
  2. Step 2: Convert to fraction form
    66,028/89,713 = 89,713/x
  3. Step 3: Cross multiply
    66,028x = 89,713 × 89,713
  4. Step 4: Simplify right side
    66,028x = 8,048,422,369
  5. Step 5: Solve for x
    x = 8,048,422,369/66,028
  6. Step 6: Final answer
    x = 121,894.08

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.