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Finding the Third Proportional to 356,311 and 742,105

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Solution

The third proportional to 356,311 and 742,105 is: 1,545,615.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,311 : 742,105 = 742,105 : x
  2. Step 2: Convert to fraction form
    356,311/742,105 = 742,105/x
  3. Step 3: Cross multiply
    356,311x = 742,105 × 742,105
  4. Step 4: Simplify right side
    356,311x = 550,719,831,025
  5. Step 5: Solve for x
    x = 550,719,831,025/356,311
  6. Step 6: Final answer
    x = 1,545,615.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.