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Finding the Third Proportional to 216,129 and 347,259

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Solution

The third proportional to 216,129 and 347,259 is: 557,948.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,129 : 347,259 = 347,259 : x
  2. Step 2: Convert to fraction form
    216,129/347,259 = 347,259/x
  3. Step 3: Cross multiply
    216,129x = 347,259 × 347,259
  4. Step 4: Simplify right side
    216,129x = 120,588,813,081
  5. Step 5: Solve for x
    x = 120,588,813,081/216,129
  6. Step 6: Final answer
    x = 557,948.32

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.