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Finding the Third Proportional to 215,429 and 340,963

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Solution

The third proportional to 215,429 and 340,963 is: 539,647.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,429 : 340,963 = 340,963 : x
  2. Step 2: Convert to fraction form
    215,429/340,963 = 340,963/x
  3. Step 3: Cross multiply
    215,429x = 340,963 × 340,963
  4. Step 4: Simplify right side
    215,429x = 116,255,767,369
  5. Step 5: Solve for x
    x = 116,255,767,369/215,429
  6. Step 6: Final answer
    x = 539,647.71

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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.