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Finding the Third Proportional to 156,569 and 342,676

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Solution

The third proportional to 156,569 and 342,676 is: 750,000.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,569 : 342,676 = 342,676 : x
  2. Step 2: Convert to fraction form
    156,569/342,676 = 342,676/x
  3. Step 3: Cross multiply
    156,569x = 342,676 × 342,676
  4. Step 4: Simplify right side
    156,569x = 117,426,840,976
  5. Step 5: Solve for x
    x = 117,426,840,976/156,569
  6. Step 6: Final answer
    x = 750,000.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.