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Finding the Third Proportional to 319,716 and 699,541

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Solution

The third proportional to 319,716 and 699,541 is: 1,530,600.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,716 : 699,541 = 699,541 : x
  2. Step 2: Convert to fraction form
    319,716/699,541 = 699,541/x
  3. Step 3: Cross multiply
    319,716x = 699,541 × 699,541
  4. Step 4: Simplify right side
    319,716x = 489,357,610,681
  5. Step 5: Solve for x
    x = 489,357,610,681/319,716
  6. Step 6: Final answer
    x = 1,530,600.94

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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.