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Finding the Third Proportional to 342,690 and 742,586

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Solution

The third proportional to 342,690 and 742,586 is: 1,609,133.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,690 : 742,586 = 742,586 : x
  2. Step 2: Convert to fraction form
    342,690/742,586 = 742,586/x
  3. Step 3: Cross multiply
    342,690x = 742,586 × 742,586
  4. Step 4: Simplify right side
    342,690x = 551,433,967,396
  5. Step 5: Solve for x
    x = 551,433,967,396/342,690
  6. Step 6: Final answer
    x = 1,609,133.52

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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.