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Finding the Third Proportional to 156,294 and 342,396

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Solution

The third proportional to 156,294 and 342,396 is: 750,092.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,294 : 342,396 = 342,396 : x
  2. Step 2: Convert to fraction form
    156,294/342,396 = 342,396/x
  3. Step 3: Cross multiply
    156,294x = 342,396 × 342,396
  4. Step 4: Simplify right side
    156,294x = 117,235,020,816
  5. Step 5: Solve for x
    x = 117,235,020,816/156,294
  6. Step 6: Final answer
    x = 750,092.91

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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.