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Finding the Third Proportional to 342,036 and 742,476

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Solution

The third proportional to 342,036 and 742,476 is: 1,611,732.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,036 : 742,476 = 742,476 : x
  2. Step 2: Convert to fraction form
    342,036/742,476 = 742,476/x
  3. Step 3: Cross multiply
    342,036x = 742,476 × 742,476
  4. Step 4: Simplify right side
    342,036x = 551,270,610,576
  5. Step 5: Solve for x
    x = 551,270,610,576/342,036
  6. Step 6: Final answer
    x = 1,611,732.71

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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.