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Finding the Third Proportional to 313,442 and 696,644

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Solution

The third proportional to 313,442 and 696,644 is: 1,548,333.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,442 : 696,644 = 696,644 : x
  2. Step 2: Convert to fraction form
    313,442/696,644 = 696,644/x
  3. Step 3: Cross multiply
    313,442x = 696,644 × 696,644
  4. Step 4: Simplify right side
    313,442x = 485,312,862,736
  5. Step 5: Solve for x
    x = 485,312,862,736/313,442
  6. Step 6: Final answer
    x = 1,548,333.86

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.