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Finding the Third Proportional to 142,327 and 306,647

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Solution

The third proportional to 142,327 and 306,647 is: 660,678.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,327 : 306,647 = 306,647 : x
  2. Step 2: Convert to fraction form
    142,327/306,647 = 306,647/x
  3. Step 3: Cross multiply
    142,327x = 306,647 × 306,647
  4. Step 4: Simplify right side
    142,327x = 94,032,382,609
  5. Step 5: Solve for x
    x = 94,032,382,609/142,327
  6. Step 6: Final answer
    x = 660,678.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.