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Finding the Third Proportional to 342,778 and 742,761

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Solution

The third proportional to 342,778 and 742,761 is: 1,609,478.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,778 : 742,761 = 742,761 : x
  2. Step 2: Convert to fraction form
    342,778/742,761 = 742,761/x
  3. Step 3: Cross multiply
    342,778x = 742,761 × 742,761
  4. Step 4: Simplify right side
    342,778x = 551,693,903,121
  5. Step 5: Solve for x
    x = 551,693,903,121/342,778
  6. Step 6: Final answer
    x = 1,609,478.74

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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.