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Finding the Third Proportional to 235,374 and 348,489

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Solution

The third proportional to 235,374 and 348,489 is: 515,964.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,374 : 348,489 = 348,489 : x
  2. Step 2: Convert to fraction form
    235,374/348,489 = 348,489/x
  3. Step 3: Cross multiply
    235,374x = 348,489 × 348,489
  4. Step 4: Simplify right side
    235,374x = 121,444,583,121
  5. Step 5: Solve for x
    x = 121,444,583,121/235,374
  6. Step 6: Final answer
    x = 515,964.31

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.