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Finding the Third Proportional to 197,076 and 417,678

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Solution

The third proportional to 197,076 and 417,678 is: 885,216.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,076 : 417,678 = 417,678 : x
  2. Step 2: Convert to fraction form
    197,076/417,678 = 417,678/x
  3. Step 3: Cross multiply
    197,076x = 417,678 × 417,678
  4. Step 4: Simplify right side
    197,076x = 174,454,911,684
  5. Step 5: Solve for x
    x = 174,454,911,684/197,076
  6. Step 6: Final answer
    x = 885,216.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.