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Finding the Third Proportional to 216,139 and 347,273

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Solution

The third proportional to 216,139 and 347,273 is: 557,967.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,139 : 347,273 = 347,273 : x
  2. Step 2: Convert to fraction form
    216,139/347,273 = 347,273/x
  3. Step 3: Cross multiply
    216,139x = 347,273 × 347,273
  4. Step 4: Simplify right side
    216,139x = 120,598,536,529
  5. Step 5: Solve for x
    x = 120,598,536,529/216,139
  6. Step 6: Final answer
    x = 557,967.50

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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.