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Finding the Third Proportional to 489,780 and 717,903

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Solution

The third proportional to 489,780 and 717,903 is: 1,052,278.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,780 : 717,903 = 717,903 : x
  2. Step 2: Convert to fraction form
    489,780/717,903 = 717,903/x
  3. Step 3: Cross multiply
    489,780x = 717,903 × 717,903
  4. Step 4: Simplify right side
    489,780x = 515,384,717,409
  5. Step 5: Solve for x
    x = 515,384,717,409/489,780
  6. Step 6: Final answer
    x = 1,052,278.00

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.