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Finding the Third Proportional to 140,670 and 299,790

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Solution

The third proportional to 140,670 and 299,790 is: 638,899.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,670 : 299,790 = 299,790 : x
  2. Step 2: Convert to fraction form
    140,670/299,790 = 299,790/x
  3. Step 3: Cross multiply
    140,670x = 299,790 × 299,790
  4. Step 4: Simplify right side
    140,670x = 89,874,044,100
  5. Step 5: Solve for x
    x = 89,874,044,100/140,670
  6. Step 6: Final answer
    x = 638,899.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.