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Finding the Third Proportional to 143,902 and 201,284

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Solution

The third proportional to 143,902 and 201,284 is: 281,547.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,902 : 201,284 = 201,284 : x
  2. Step 2: Convert to fraction form
    143,902/201,284 = 201,284/x
  3. Step 3: Cross multiply
    143,902x = 201,284 × 201,284
  4. Step 4: Simplify right side
    143,902x = 40,515,248,656
  5. Step 5: Solve for x
    x = 40,515,248,656/143,902
  6. Step 6: Final answer
    x = 281,547.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.