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Finding the Third Proportional to 315,972 and 693,170

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Solution

The third proportional to 315,972 and 693,170 is: 1,520,655.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,972 : 693,170 = 693,170 : x
  2. Step 2: Convert to fraction form
    315,972/693,170 = 693,170/x
  3. Step 3: Cross multiply
    315,972x = 693,170 × 693,170
  4. Step 4: Simplify right side
    315,972x = 480,484,648,900
  5. Step 5: Solve for x
    x = 480,484,648,900/315,972
  6. Step 6: Final answer
    x = 1,520,655.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.