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Finding the Third Proportional to 216,522 and 340,132

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Solution

The third proportional to 216,522 and 340,132 is: 534,309.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,522 : 340,132 = 340,132 : x
  2. Step 2: Convert to fraction form
    216,522/340,132 = 340,132/x
  3. Step 3: Cross multiply
    216,522x = 340,132 × 340,132
  4. Step 4: Simplify right side
    216,522x = 115,689,777,424
  5. Step 5: Solve for x
    x = 115,689,777,424/216,522
  6. Step 6: Final answer
    x = 534,309.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.