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Finding the Third Proportional to 156,101 and 331,639

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Solution

The third proportional to 156,101 and 331,639 is: 704,572.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,101 : 331,639 = 331,639 : x
  2. Step 2: Convert to fraction form
    156,101/331,639 = 331,639/x
  3. Step 3: Cross multiply
    156,101x = 331,639 × 331,639
  4. Step 4: Simplify right side
    156,101x = 109,984,426,321
  5. Step 5: Solve for x
    x = 109,984,426,321/156,101
  6. Step 6: Final answer
    x = 704,572.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.