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Finding the Third Proportional to 66,387 and 143,840

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Solution

The third proportional to 66,387 and 143,840 is: 311,656.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,387 : 143,840 = 143,840 : x
  2. Step 2: Convert to fraction form
    66,387/143,840 = 143,840/x
  3. Step 3: Cross multiply
    66,387x = 143,840 × 143,840
  4. Step 4: Simplify right side
    66,387x = 20,689,945,600
  5. Step 5: Solve for x
    x = 20,689,945,600/66,387
  6. Step 6: Final answer
    x = 311,656.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.