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Finding the Third Proportional to 299,614 and 455,555

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Solution

The third proportional to 299,614 and 455,555 is: 692,659.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,614 : 455,555 = 455,555 : x
  2. Step 2: Convert to fraction form
    299,614/455,555 = 455,555/x
  3. Step 3: Cross multiply
    299,614x = 455,555 × 455,555
  4. Step 4: Simplify right side
    299,614x = 207,530,358,025
  5. Step 5: Solve for x
    x = 207,530,358,025/299,614
  6. Step 6: Final answer
    x = 692,659.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.