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Finding the Third Proportional to 66,511 and 97,821.75

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Solution

The third proportional to 66,511 and 97,821.75 is: 143,872.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,511 : 97,821.75 = 97,821.75 : x
  2. Step 2: Convert to fraction form
    66,511/97,821.75 = 97,821.75/x
  3. Step 3: Cross multiply
    66,511x = 97,821.75 × 97,821.75
  4. Step 4: Simplify right side
    66,511x = 9,569,094,773.06
  5. Step 5: Solve for x
    x = 9,569,094,773.06/66,511
  6. Step 6: Final answer
    x = 143,872.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.