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Finding the Third Proportional to 140,555 and 306,056

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Solution

The third proportional to 140,555 and 306,056 is: 666,431.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,555 : 306,056 = 306,056 : x
  2. Step 2: Convert to fraction form
    140,555/306,056 = 306,056/x
  3. Step 3: Cross multiply
    140,555x = 306,056 × 306,056
  4. Step 4: Simplify right side
    140,555x = 93,670,275,136
  5. Step 5: Solve for x
    x = 93,670,275,136/140,555
  6. Step 6: Final answer
    x = 666,431.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.