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Finding the Third Proportional to 215,425 and 340,957

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Solution

The third proportional to 215,425 and 340,957 is: 539,638.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,425 : 340,957 = 340,957 : x
  2. Step 2: Convert to fraction form
    215,425/340,957 = 340,957/x
  3. Step 3: Cross multiply
    215,425x = 340,957 × 340,957
  4. Step 4: Simplify right side
    215,425x = 116,251,675,849
  5. Step 5: Solve for x
    x = 116,251,675,849/215,425
  6. Step 6: Final answer
    x = 539,638.74

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.