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Finding the Third Proportional to 156,912 and 342,983

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Solution

The third proportional to 156,912 and 342,983 is: 749,702.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,912 : 342,983 = 342,983 : x
  2. Step 2: Convert to fraction form
    156,912/342,983 = 342,983/x
  3. Step 3: Cross multiply
    156,912x = 342,983 × 342,983
  4. Step 4: Simplify right side
    156,912x = 117,637,338,289
  5. Step 5: Solve for x
    x = 117,637,338,289/156,912
  6. Step 6: Final answer
    x = 749,702.62

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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.