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Finding the Third Proportional to 298,384 and 465,720

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Solution

The third proportional to 298,384 and 465,720 is: 726,899.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,384 : 465,720 = 465,720 : x
  2. Step 2: Convert to fraction form
    298,384/465,720 = 465,720/x
  3. Step 3: Cross multiply
    298,384x = 465,720 × 465,720
  4. Step 4: Simplify right side
    298,384x = 216,895,118,400
  5. Step 5: Solve for x
    x = 216,895,118,400/298,384
  6. Step 6: Final answer
    x = 726,899.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.