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Finding the Third Proportional to 168,136 and 260,340

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Solution

The third proportional to 168,136 and 260,340 is: 403,107.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,136 : 260,340 = 260,340 : x
  2. Step 2: Convert to fraction form
    168,136/260,340 = 260,340/x
  3. Step 3: Cross multiply
    168,136x = 260,340 × 260,340
  4. Step 4: Simplify right side
    168,136x = 67,776,915,600
  5. Step 5: Solve for x
    x = 67,776,915,600/168,136
  6. Step 6: Final answer
    x = 403,107.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.