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Finding the Third Proportional to 101,235 and 143,920

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Solution

The third proportional to 101,235 and 143,920 is: 204,602.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,235 : 143,920 = 143,920 : x
  2. Step 2: Convert to fraction form
    101,235/143,920 = 143,920/x
  3. Step 3: Cross multiply
    101,235x = 143,920 × 143,920
  4. Step 4: Simplify right side
    101,235x = 20,712,966,400
  5. Step 5: Solve for x
    x = 20,712,966,400/101,235
  6. Step 6: Final answer
    x = 204,602.82

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.