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Finding the Third Proportional to 195,004 and 420,344

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Solution

The third proportional to 195,004 and 420,344 is: 906,079.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,004 : 420,344 = 420,344 : x
  2. Step 2: Convert to fraction form
    195,004/420,344 = 420,344/x
  3. Step 3: Cross multiply
    195,004x = 420,344 × 420,344
  4. Step 4: Simplify right side
    195,004x = 176,689,078,336
  5. Step 5: Solve for x
    x = 176,689,078,336/195,004
  6. Step 6: Final answer
    x = 906,079.25

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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.