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Finding the Third Proportional to 186,078 and 403,663

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Solution

The third proportional to 186,078 and 403,663 is: 875,674.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,078 : 403,663 = 403,663 : x
  2. Step 2: Convert to fraction form
    186,078/403,663 = 403,663/x
  3. Step 3: Cross multiply
    186,078x = 403,663 × 403,663
  4. Step 4: Simplify right side
    186,078x = 162,943,817,569
  5. Step 5: Solve for x
    x = 162,943,817,569/186,078
  6. Step 6: Final answer
    x = 875,674.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.