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Finding the Third Proportional to 316,916 and 690,696

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Solution

The third proportional to 316,916 and 690,696 is: 1,505,323.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,916 : 690,696 = 690,696 : x
  2. Step 2: Convert to fraction form
    316,916/690,696 = 690,696/x
  3. Step 3: Cross multiply
    316,916x = 690,696 × 690,696
  4. Step 4: Simplify right side
    316,916x = 477,060,964,416
  5. Step 5: Solve for x
    x = 477,060,964,416/316,916
  6. Step 6: Final answer
    x = 1,505,323.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.