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Finding the Third Proportional to 385,998 and 790,716

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Solution

The third proportional to 385,998 and 790,716 is: 1,619,779.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,998 : 790,716 = 790,716 : x
  2. Step 2: Convert to fraction form
    385,998/790,716 = 790,716/x
  3. Step 3: Cross multiply
    385,998x = 790,716 × 790,716
  4. Step 4: Simplify right side
    385,998x = 625,231,792,656
  5. Step 5: Solve for x
    x = 625,231,792,656/385,998
  6. Step 6: Final answer
    x = 1,619,779.88

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.