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Finding the Third Proportional to 291,384 and 450,016

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Solution

The third proportional to 291,384 and 450,016 is: 695,008.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,384 : 450,016 = 450,016 : x
  2. Step 2: Convert to fraction form
    291,384/450,016 = 450,016/x
  3. Step 3: Cross multiply
    291,384x = 450,016 × 450,016
  4. Step 4: Simplify right side
    291,384x = 202,514,400,256
  5. Step 5: Solve for x
    x = 202,514,400,256/291,384
  6. Step 6: Final answer
    x = 695,008.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.