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Finding the Third Proportional to 342,684 and 742,574

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Solution

The third proportional to 342,684 and 742,574 is: 1,609,109.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,684 : 742,574 = 742,574 : x
  2. Step 2: Convert to fraction form
    342,684/742,574 = 742,574/x
  3. Step 3: Cross multiply
    342,684x = 742,574 × 742,574
  4. Step 4: Simplify right side
    342,684x = 551,416,145,476
  5. Step 5: Solve for x
    x = 551,416,145,476/342,684
  6. Step 6: Final answer
    x = 1,609,109.69

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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.