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Finding the Third Proportional to 186,480 and 279,656

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Solution

The third proportional to 186,480 and 279,656 is: 419,388.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,480 : 279,656 = 279,656 : x
  2. Step 2: Convert to fraction form
    186,480/279,656 = 279,656/x
  3. Step 3: Cross multiply
    186,480x = 279,656 × 279,656
  4. Step 4: Simplify right side
    186,480x = 78,207,478,336
  5. Step 5: Solve for x
    x = 78,207,478,336/186,480
  6. Step 6: Final answer
    x = 419,388.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.