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Finding the Third Proportional to 245,690 and 516,136

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Solution

The third proportional to 245,690 and 516,136 is: 1,084,278.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,690 : 516,136 = 516,136 : x
  2. Step 2: Convert to fraction form
    245,690/516,136 = 516,136/x
  3. Step 3: Cross multiply
    245,690x = 516,136 × 516,136
  4. Step 4: Simplify right side
    245,690x = 266,396,370,496
  5. Step 5: Solve for x
    x = 266,396,370,496/245,690
  6. Step 6: Final answer
    x = 1,084,278.44

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.