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Finding the Third Proportional to 156,640 and 305,396

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Solution

The third proportional to 156,640 and 305,396 is: 595,420.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,640 : 305,396 = 305,396 : x
  2. Step 2: Convert to fraction form
    156,640/305,396 = 305,396/x
  3. Step 3: Cross multiply
    156,640x = 305,396 × 305,396
  4. Step 4: Simplify right side
    156,640x = 93,266,716,816
  5. Step 5: Solve for x
    x = 93,266,716,816/156,640
  6. Step 6: Final answer
    x = 595,420.82

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.