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Finding the Third Proportional to 143,710 and 193,328

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Solution

The third proportional to 143,710 and 193,328 is: 260,077.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,710 : 193,328 = 193,328 : x
  2. Step 2: Convert to fraction form
    143,710/193,328 = 193,328/x
  3. Step 3: Cross multiply
    143,710x = 193,328 × 193,328
  4. Step 4: Simplify right side
    143,710x = 37,375,715,584
  5. Step 5: Solve for x
    x = 37,375,715,584/143,710
  6. Step 6: Final answer
    x = 260,077.35

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.