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Finding the Third Proportional to 316,235 and 694,678

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Solution

The third proportional to 316,235 and 694,678 is: 1,526,009.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,235 : 694,678 = 694,678 : x
  2. Step 2: Convert to fraction form
    316,235/694,678 = 694,678/x
  3. Step 3: Cross multiply
    316,235x = 694,678 × 694,678
  4. Step 4: Simplify right side
    316,235x = 482,577,523,684
  5. Step 5: Solve for x
    x = 482,577,523,684/316,235
  6. Step 6: Final answer
    x = 1,526,009.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.