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Finding the Third Proportional to 315,976 and 693,178

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Solution

The third proportional to 315,976 and 693,178 is: 1,520,671.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,976 : 693,178 = 693,178 : x
  2. Step 2: Convert to fraction form
    315,976/693,178 = 693,178/x
  3. Step 3: Cross multiply
    315,976x = 693,178 × 693,178
  4. Step 4: Simplify right side
    315,976x = 480,495,739,684
  5. Step 5: Solve for x
    x = 480,495,739,684/315,976
  6. Step 6: Final answer
    x = 1,520,671.63

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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.