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Finding the Third Proportional to 338,120 and 506,136

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Solution

The third proportional to 338,120 and 506,136 is: 757,641.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,120 : 506,136 = 506,136 : x
  2. Step 2: Convert to fraction form
    338,120/506,136 = 506,136/x
  3. Step 3: Cross multiply
    338,120x = 506,136 × 506,136
  4. Step 4: Simplify right side
    338,120x = 256,173,650,496
  5. Step 5: Solve for x
    x = 256,173,650,496/338,120
  6. Step 6: Final answer
    x = 757,641.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.