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Finding the Third Proportional to 216,167 and 345,329

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Solution

The third proportional to 216,167 and 345,329 is: 551,666.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,167 : 345,329 = 345,329 : x
  2. Step 2: Convert to fraction form
    216,167/345,329 = 345,329/x
  3. Step 3: Cross multiply
    216,167x = 345,329 × 345,329
  4. Step 4: Simplify right side
    216,167x = 119,252,118,241
  5. Step 5: Solve for x
    x = 119,252,118,241/216,167
  6. Step 6: Final answer
    x = 551,666.62

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.