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Finding the Third Proportional to 315,664 and 693,536

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Solution

The third proportional to 315,664 and 693,536 is: 1,523,747.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,664 : 693,536 = 693,536 : x
  2. Step 2: Convert to fraction form
    315,664/693,536 = 693,536/x
  3. Step 3: Cross multiply
    315,664x = 693,536 × 693,536
  4. Step 4: Simplify right side
    315,664x = 480,992,183,296
  5. Step 5: Solve for x
    x = 480,992,183,296/315,664
  6. Step 6: Final answer
    x = 1,523,747.35

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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.