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Finding the Third Proportional to 190,520 and 417,904

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Solution

The third proportional to 190,520 and 417,904 is: 916,668.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,520 : 417,904 = 417,904 : x
  2. Step 2: Convert to fraction form
    190,520/417,904 = 417,904/x
  3. Step 3: Cross multiply
    190,520x = 417,904 × 417,904
  4. Step 4: Simplify right side
    190,520x = 174,643,753,216
  5. Step 5: Solve for x
    x = 174,643,753,216/190,520
  6. Step 6: Final answer
    x = 916,668.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.