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Finding the Third Proportional to 156,717 and 282,329

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Solution

The third proportional to 156,717 and 282,329 is: 508,621.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,717 : 282,329 = 282,329 : x
  2. Step 2: Convert to fraction form
    156,717/282,329 = 282,329/x
  3. Step 3: Cross multiply
    156,717x = 282,329 × 282,329
  4. Step 4: Simplify right side
    156,717x = 79,709,664,241
  5. Step 5: Solve for x
    x = 79,709,664,241/156,717
  6. Step 6: Final answer
    x = 508,621.68

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.