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Finding the Third Proportional to 239,472 and 348,678

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Solution

The third proportional to 239,472 and 348,678 is: 507,685.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,472 : 348,678 = 348,678 : x
  2. Step 2: Convert to fraction form
    239,472/348,678 = 348,678/x
  3. Step 3: Cross multiply
    239,472x = 348,678 × 348,678
  4. Step 4: Simplify right side
    239,472x = 121,576,347,684
  5. Step 5: Solve for x
    x = 121,576,347,684/239,472
  6. Step 6: Final answer
    x = 507,685.02

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.