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Finding the Third Proportional to 342,920 and 742,864

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Solution

The third proportional to 342,920 and 742,864 is: 1,609,258.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,920 : 742,864 = 742,864 : x
  2. Step 2: Convert to fraction form
    342,920/742,864 = 742,864/x
  3. Step 3: Cross multiply
    342,920x = 742,864 × 742,864
  4. Step 4: Simplify right side
    342,920x = 551,846,922,496
  5. Step 5: Solve for x
    x = 551,846,922,496/342,920
  6. Step 6: Final answer
    x = 1,609,258.49

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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.