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Finding the Third Proportional to 225,918.75 and 489,031.13

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Solution

The third proportional to 225,918.75 and 489,031.13 is: 1,058,572.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,918.75 : 489,031.13 = 489,031.13 : x
  2. Step 2: Convert to fraction form
    225,918.75/489,031.13 = 489,031.13/x
  3. Step 3: Cross multiply
    225,918.75x = 489,031.13 × 489,031.13
  4. Step 4: Simplify right side
    225,918.75x = 239,151,441,218.77
  5. Step 5: Solve for x
    x = 239,151,441,218.77/225,918.75
  6. Step 6: Final answer
    x = 1,058,572.79

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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.