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Finding the Third Proportional to 400,290 and 619,136

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Solution

The third proportional to 400,290 and 619,136 is: 957,629.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,290 : 619,136 = 619,136 : x
  2. Step 2: Convert to fraction form
    400,290/619,136 = 619,136/x
  3. Step 3: Cross multiply
    400,290x = 619,136 × 619,136
  4. Step 4: Simplify right side
    400,290x = 383,329,386,496
  5. Step 5: Solve for x
    x = 383,329,386,496/400,290
  6. Step 6: Final answer
    x = 957,629.19

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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.