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Finding the Third Proportional to 239,268 and 348,516

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Solution

The third proportional to 239,268 and 348,516 is: 507,645.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,268 : 348,516 = 348,516 : x
  2. Step 2: Convert to fraction form
    239,268/348,516 = 348,516/x
  3. Step 3: Cross multiply
    239,268x = 348,516 × 348,516
  4. Step 4: Simplify right side
    239,268x = 121,463,402,256
  5. Step 5: Solve for x
    x = 121,463,402,256/239,268
  6. Step 6: Final answer
    x = 507,645.83

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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.