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Finding the Third Proportional to 186,716 and 403,078

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Solution

The third proportional to 186,716 and 403,078 is: 870,155.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,716 : 403,078 = 403,078 : x
  2. Step 2: Convert to fraction form
    186,716/403,078 = 403,078/x
  3. Step 3: Cross multiply
    186,716x = 403,078 × 403,078
  4. Step 4: Simplify right side
    186,716x = 162,471,874,084
  5. Step 5: Solve for x
    x = 162,471,874,084/186,716
  6. Step 6: Final answer
    x = 870,155.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.