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Finding the Third Proportional to 66,352 and 143,072

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Solution

The third proportional to 66,352 and 143,072 is: 308,500.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,352 : 143,072 = 143,072 : x
  2. Step 2: Convert to fraction form
    66,352/143,072 = 143,072/x
  3. Step 3: Cross multiply
    66,352x = 143,072 × 143,072
  4. Step 4: Simplify right side
    66,352x = 20,469,597,184
  5. Step 5: Solve for x
    x = 20,469,597,184/66,352
  6. Step 6: Final answer
    x = 308,500.08

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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.