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Finding the Third Proportional to 156,700 and 341,771

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Solution

The third proportional to 156,700 and 341,771 is: 745,420.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,700 : 341,771 = 341,771 : x
  2. Step 2: Convert to fraction form
    156,700/341,771 = 341,771/x
  3. Step 3: Cross multiply
    156,700x = 341,771 × 341,771
  4. Step 4: Simplify right side
    156,700x = 116,807,416,441
  5. Step 5: Solve for x
    x = 116,807,416,441/156,700
  6. Step 6: Final answer
    x = 745,420.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.