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Finding the Third Proportional to 298,987 and 463,425

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Solution

The third proportional to 298,987 and 463,425 is: 718,301.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,987 : 463,425 = 463,425 : x
  2. Step 2: Convert to fraction form
    298,987/463,425 = 463,425/x
  3. Step 3: Cross multiply
    298,987x = 463,425 × 463,425
  4. Step 4: Simplify right side
    298,987x = 214,762,730,625
  5. Step 5: Solve for x
    x = 214,762,730,625/298,987
  6. Step 6: Final answer
    x = 718,301.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.