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Finding the Third Proportional to 66,391 and 143,348

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Solution

The third proportional to 66,391 and 143,348 is: 309,509.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,391 : 143,348 = 143,348 : x
  2. Step 2: Convert to fraction form
    66,391/143,348 = 143,348/x
  3. Step 3: Cross multiply
    66,391x = 143,348 × 143,348
  4. Step 4: Simplify right side
    66,391x = 20,548,649,104
  5. Step 5: Solve for x
    x = 20,548,649,104/66,391
  6. Step 6: Final answer
    x = 309,509.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.