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Finding the Third Proportional to 307,402 and 461,103

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Solution

The third proportional to 307,402 and 461,103 is: 691,654.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,402 : 461,103 = 461,103 : x
  2. Step 2: Convert to fraction form
    307,402/461,103 = 461,103/x
  3. Step 3: Cross multiply
    307,402x = 461,103 × 461,103
  4. Step 4: Simplify right side
    307,402x = 212,615,976,609
  5. Step 5: Solve for x
    x = 212,615,976,609/307,402
  6. Step 6: Final answer
    x = 691,654.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.