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Finding the Third Proportional to 140,664 and 299,779

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Solution

The third proportional to 140,664 and 299,779 is: 638,880.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,664 : 299,779 = 299,779 : x
  2. Step 2: Convert to fraction form
    140,664/299,779 = 299,779/x
  3. Step 3: Cross multiply
    140,664x = 299,779 × 299,779
  4. Step 4: Simplify right side
    140,664x = 89,867,448,841
  5. Step 5: Solve for x
    x = 89,867,448,841/140,664
  6. Step 6: Final answer
    x = 638,880.23

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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.