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Finding the Third Proportional to 299,065 and 653,858

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Solution

The third proportional to 299,065 and 653,858 is: 1,429,556.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,065 : 653,858 = 653,858 : x
  2. Step 2: Convert to fraction form
    299,065/653,858 = 653,858/x
  3. Step 3: Cross multiply
    299,065x = 653,858 × 653,858
  4. Step 4: Simplify right side
    299,065x = 427,530,284,164
  5. Step 5: Solve for x
    x = 427,530,284,164/299,065
  6. Step 6: Final answer
    x = 1,429,556.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.