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Finding the Third Proportional to 200,496 and 417,578

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Solution

The third proportional to 200,496 and 417,578 is: 869,700.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,496 : 417,578 = 417,578 : x
  2. Step 2: Convert to fraction form
    200,496/417,578 = 417,578/x
  3. Step 3: Cross multiply
    200,496x = 417,578 × 417,578
  4. Step 4: Simplify right side
    200,496x = 174,371,386,084
  5. Step 5: Solve for x
    x = 174,371,386,084/200,496
  6. Step 6: Final answer
    x = 869,700.07

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.