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Finding the Third Proportional to 66,354 and 143,076

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Solution

The third proportional to 66,354 and 143,076 is: 308,508.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,354 : 143,076 = 143,076 : x
  2. Step 2: Convert to fraction form
    66,354/143,076 = 143,076/x
  3. Step 3: Cross multiply
    66,354x = 143,076 × 143,076
  4. Step 4: Simplify right side
    66,354x = 20,470,741,776
  5. Step 5: Solve for x
    x = 20,470,741,776/66,354
  6. Step 6: Final answer
    x = 308,508.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.