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Finding the Third Proportional to 195,010 and 420,356

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Solution

The third proportional to 195,010 and 420,356 is: 906,103.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,010 : 420,356 = 420,356 : x
  2. Step 2: Convert to fraction form
    195,010/420,356 = 420,356/x
  3. Step 3: Cross multiply
    195,010x = 420,356 × 420,356
  4. Step 4: Simplify right side
    195,010x = 176,699,166,736
  5. Step 5: Solve for x
    x = 176,699,166,736/195,010
  6. Step 6: Final answer
    x = 906,103.11

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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.