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Finding the Third Proportional to 298,317 and 433,386

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Solution

The third proportional to 298,317 and 433,386 is: 629,610.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,317 : 433,386 = 433,386 : x
  2. Step 2: Convert to fraction form
    298,317/433,386 = 433,386/x
  3. Step 3: Cross multiply
    298,317x = 433,386 × 433,386
  4. Step 4: Simplify right side
    298,317x = 187,823,424,996
  5. Step 5: Solve for x
    x = 187,823,424,996/298,317
  6. Step 6: Final answer
    x = 629,610.20

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.