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Finding the Third Proportional to 342,716 and 742,636

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Solution

The third proportional to 342,716 and 742,636 is: 1,609,228.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,716 : 742,636 = 742,636 : x
  2. Step 2: Convert to fraction form
    342,716/742,636 = 742,636/x
  3. Step 3: Cross multiply
    342,716x = 742,636 × 742,636
  4. Step 4: Simplify right side
    342,716x = 551,508,228,496
  5. Step 5: Solve for x
    x = 551,508,228,496/342,716
  6. Step 6: Final answer
    x = 1,609,228.13

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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.