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Finding the Third Proportional to 342,840 and 500,856

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Solution

The third proportional to 342,840 and 500,856 is: 731,702.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,840 : 500,856 = 500,856 : x
  2. Step 2: Convert to fraction form
    342,840/500,856 = 500,856/x
  3. Step 3: Cross multiply
    342,840x = 500,856 × 500,856
  4. Step 4: Simplify right side
    342,840x = 250,856,732,736
  5. Step 5: Solve for x
    x = 250,856,732,736/342,840
  6. Step 6: Final answer
    x = 731,702.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.