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Finding the Third Proportional to 190,080 and 278,208

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Solution

The third proportional to 190,080 and 278,208 is: 407,195.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,080 : 278,208 = 278,208 : x
  2. Step 2: Convert to fraction form
    190,080/278,208 = 278,208/x
  3. Step 3: Cross multiply
    190,080x = 278,208 × 278,208
  4. Step 4: Simplify right side
    190,080x = 77,399,691,264
  5. Step 5: Solve for x
    x = 77,399,691,264/190,080
  6. Step 6: Final answer
    x = 407,195.35

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.