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Finding the Third Proportional to 316,633 and 672,128

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Solution

The third proportional to 316,633 and 672,128 is: 1,426,749.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,633 : 672,128 = 672,128 : x
  2. Step 2: Convert to fraction form
    316,633/672,128 = 672,128/x
  3. Step 3: Cross multiply
    316,633x = 672,128 × 672,128
  4. Step 4: Simplify right side
    316,633x = 451,756,048,384
  5. Step 5: Solve for x
    x = 451,756,048,384/316,633
  6. Step 6: Final answer
    x = 1,426,749.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.