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Finding the Third Proportional to 368,136 and 518,292

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Solution

The third proportional to 368,136 and 518,292 is: 729,693.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,136 : 518,292 = 518,292 : x
  2. Step 2: Convert to fraction form
    368,136/518,292 = 518,292/x
  3. Step 3: Cross multiply
    368,136x = 518,292 × 518,292
  4. Step 4: Simplify right side
    368,136x = 268,626,597,264
  5. Step 5: Solve for x
    x = 268,626,597,264/368,136
  6. Step 6: Final answer
    x = 729,693.91

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.