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Finding the Third Proportional to 426,301.73 and 643,879.13

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Solution

The third proportional to 426,301.73 and 643,879.13 is: 972,504.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,301.73 : 643,879.13 = 643,879.13 : x
  2. Step 2: Convert to fraction form
    426,301.73/643,879.13 = 643,879.13/x
  3. Step 3: Cross multiply
    426,301.73x = 643,879.13 × 643,879.13
  4. Step 4: Simplify right side
    426,301.73x = 414,580,327,610.77
  5. Step 5: Solve for x
    x = 414,580,327,610.77/426,301.73
  6. Step 6: Final answer
    x = 972,504.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.