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Finding the Third Proportional to 102,210.75 and 143,228.25

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Solution

The third proportional to 102,210.75 and 143,228.25 is: 200,706.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,210.75 : 143,228.25 = 143,228.25 : x
  2. Step 2: Convert to fraction form
    102,210.75/143,228.25 = 143,228.25/x
  3. Step 3: Cross multiply
    102,210.75x = 143,228.25 × 143,228.25
  4. Step 4: Simplify right side
    102,210.75x = 20,514,331,598.06
  5. Step 5: Solve for x
    x = 20,514,331,598.06/102,210.75
  6. Step 6: Final answer
    x = 200,706.20

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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.