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Finding the Third Proportional to 312,080 and 672,370

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Solution

The third proportional to 312,080 and 672,370 is: 1,448,607.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,080 : 672,370 = 672,370 : x
  2. Step 2: Convert to fraction form
    312,080/672,370 = 672,370/x
  3. Step 3: Cross multiply
    312,080x = 672,370 × 672,370
  4. Step 4: Simplify right side
    312,080x = 452,081,416,900
  5. Step 5: Solve for x
    x = 452,081,416,900/312,080
  6. Step 6: Final answer
    x = 1,448,607.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.