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Finding the Third Proportional to 101,971.50 and 143,343

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Solution

The third proportional to 101,971.50 and 143,343 is: 201,499.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,971.50 : 143,343 = 143,343 : x
  2. Step 2: Convert to fraction form
    101,971.50/143,343 = 143,343/x
  3. Step 3: Cross multiply
    101,971.50x = 143,343 × 143,343
  4. Step 4: Simplify right side
    101,971.50x = 20,547,215,649
  5. Step 5: Solve for x
    x = 20,547,215,649/101,971.50
  6. Step 6: Final answer
    x = 201,499.59

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.