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Finding the Third Proportional to 342,489 and 742,794

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Solution

The third proportional to 342,489 and 742,794 is: 1,610,979.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,489 : 742,794 = 742,794 : x
  2. Step 2: Convert to fraction form
    342,489/742,794 = 742,794/x
  3. Step 3: Cross multiply
    342,489x = 742,794 × 742,794
  4. Step 4: Simplify right side
    342,489x = 551,742,926,436
  5. Step 5: Solve for x
    x = 551,742,926,436/342,489
  6. Step 6: Final answer
    x = 1,610,979.99

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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.