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Finding the Third Proportional to 156,740 and 220,243

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Solution

The third proportional to 156,740 and 220,243 is: 309,474.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,740 : 220,243 = 220,243 : x
  2. Step 2: Convert to fraction form
    156,740/220,243 = 220,243/x
  3. Step 3: Cross multiply
    156,740x = 220,243 × 220,243
  4. Step 4: Simplify right side
    156,740x = 48,506,979,049
  5. Step 5: Solve for x
    x = 48,506,979,049/156,740
  6. Step 6: Final answer
    x = 309,474.15

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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.