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Finding the Third Proportional to 66,477 and 89,562

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Solution

The third proportional to 66,477 and 89,562 is: 120,663.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,477 : 89,562 = 89,562 : x
  2. Step 2: Convert to fraction form
    66,477/89,562 = 89,562/x
  3. Step 3: Cross multiply
    66,477x = 89,562 × 89,562
  4. Step 4: Simplify right side
    66,477x = 8,021,351,844
  5. Step 5: Solve for x
    x = 8,021,351,844/66,477
  6. Step 6: Final answer
    x = 120,663.57

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.