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Finding the Third Proportional to 156,970 and 221,146

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Solution

The third proportional to 156,970 and 221,146 is: 311,559.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,970 : 221,146 = 221,146 : x
  2. Step 2: Convert to fraction form
    156,970/221,146 = 221,146/x
  3. Step 3: Cross multiply
    156,970x = 221,146 × 221,146
  4. Step 4: Simplify right side
    156,970x = 48,905,553,316
  5. Step 5: Solve for x
    x = 48,905,553,316/156,970
  6. Step 6: Final answer
    x = 311,559.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.