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Finding the Third Proportional to 342,756 and 742,715

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Solution

The third proportional to 342,756 and 742,715 is: 1,609,382.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,756 : 742,715 = 742,715 : x
  2. Step 2: Convert to fraction form
    342,756/742,715 = 742,715/x
  3. Step 3: Cross multiply
    342,756x = 742,715 × 742,715
  4. Step 4: Simplify right side
    342,756x = 551,625,571,225
  5. Step 5: Solve for x
    x = 551,625,571,225/342,756
  6. Step 6: Final answer
    x = 1,609,382.68

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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.