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Finding the Third Proportional to 316,985 and 690,834

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Solution

The third proportional to 316,985 and 690,834 is: 1,505,596.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,985 : 690,834 = 690,834 : x
  2. Step 2: Convert to fraction form
    316,985/690,834 = 690,834/x
  3. Step 3: Cross multiply
    316,985x = 690,834 × 690,834
  4. Step 4: Simplify right side
    316,985x = 477,251,615,556
  5. Step 5: Solve for x
    x = 477,251,615,556/316,985
  6. Step 6: Final answer
    x = 1,505,596.84

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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.