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Finding the Third Proportional to 101,988.25 and 143,368.50

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Solution

The third proportional to 101,988.25 and 143,368.50 is: 201,538.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,988.25 : 143,368.50 = 143,368.50 : x
  2. Step 2: Convert to fraction form
    101,988.25/143,368.50 = 143,368.50/x
  3. Step 3: Cross multiply
    101,988.25x = 143,368.50 × 143,368.50
  4. Step 4: Simplify right side
    101,988.25x = 20,554,526,792.25
  5. Step 5: Solve for x
    x = 20,554,526,792.25/101,988.25
  6. Step 6: Final answer
    x = 201,538.18

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Why These Related Problems?

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