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Finding the Third Proportional to 159,458 and 216,655

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Solution

The third proportional to 159,458 and 216,655 is: 294,368.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,458 : 216,655 = 216,655 : x
  2. Step 2: Convert to fraction form
    159,458/216,655 = 216,655/x
  3. Step 3: Cross multiply
    159,458x = 216,655 × 216,655
  4. Step 4: Simplify right side
    159,458x = 46,939,389,025
  5. Step 5: Solve for x
    x = 46,939,389,025/159,458
  6. Step 6: Final answer
    x = 294,368.35

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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.