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Finding the Third Proportional to 320,246 and 693,085

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Solution

The third proportional to 320,246 and 693,085 is: 1,499,993.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,246 : 693,085 = 693,085 : x
  2. Step 2: Convert to fraction form
    320,246/693,085 = 693,085/x
  3. Step 3: Cross multiply
    320,246x = 693,085 × 693,085
  4. Step 4: Simplify right side
    320,246x = 480,366,817,225
  5. Step 5: Solve for x
    x = 480,366,817,225/320,246
  6. Step 6: Final answer
    x = 1,499,993.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.