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Finding the Third Proportional to 299,307 and 354,666

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Solution

The third proportional to 299,307 and 354,666 is: 420,264.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,307 : 354,666 = 354,666 : x
  2. Step 2: Convert to fraction form
    299,307/354,666 = 354,666/x
  3. Step 3: Cross multiply
    299,307x = 354,666 × 354,666
  4. Step 4: Simplify right side
    299,307x = 125,787,971,556
  5. Step 5: Solve for x
    x = 125,787,971,556/299,307
  6. Step 6: Final answer
    x = 420,264.05

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.