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Finding the Third Proportional to 342,922 and 742,868

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Solution

The third proportional to 342,922 and 742,868 is: 1,609,266.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,922 : 742,868 = 742,868 : x
  2. Step 2: Convert to fraction form
    342,922/742,868 = 742,868/x
  3. Step 3: Cross multiply
    342,922x = 742,868 × 742,868
  4. Step 4: Simplify right side
    342,922x = 551,852,865,424
  5. Step 5: Solve for x
    x = 551,852,865,424/342,922
  6. Step 6: Final answer
    x = 1,609,266.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.