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Finding the Third Proportional to 159,455 and 216,651

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Solution

The third proportional to 159,455 and 216,651 is: 294,363.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,455 : 216,651 = 216,651 : x
  2. Step 2: Convert to fraction form
    159,455/216,651 = 216,651/x
  3. Step 3: Cross multiply
    159,455x = 216,651 × 216,651
  4. Step 4: Simplify right side
    159,455x = 46,937,655,801
  5. Step 5: Solve for x
    x = 46,937,655,801/159,455
  6. Step 6: Final answer
    x = 294,363.02

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.