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Finding the Third Proportional to 316,580 and 693,197

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Solution

The third proportional to 316,580 and 693,197 is: 1,517,853.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,580 : 693,197 = 693,197 : x
  2. Step 2: Convert to fraction form
    316,580/693,197 = 693,197/x
  3. Step 3: Cross multiply
    316,580x = 693,197 × 693,197
  4. Step 4: Simplify right side
    316,580x = 480,522,080,809
  5. Step 5: Solve for x
    x = 480,522,080,809/316,580
  6. Step 6: Final answer
    x = 1,517,853.56

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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.