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Finding the Third Proportional to 193,010 and 420,004

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Solution

The third proportional to 193,010 and 420,004 is: 913,959.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,010 : 420,004 = 420,004 : x
  2. Step 2: Convert to fraction form
    193,010/420,004 = 420,004/x
  3. Step 3: Cross multiply
    193,010x = 420,004 × 420,004
  4. Step 4: Simplify right side
    193,010x = 176,403,360,016
  5. Step 5: Solve for x
    x = 176,403,360,016/193,010
  6. Step 6: Final answer
    x = 913,959.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.