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Finding the Third Proportional to 489,131.72 and 643,205.81

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Solution

The third proportional to 489,131.72 and 643,205.81 is: 845,812.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,131.72 : 643,205.81 = 643,205.81 : x
  2. Step 2: Convert to fraction form
    489,131.72/643,205.81 = 643,205.81/x
  3. Step 3: Cross multiply
    489,131.72x = 643,205.81 × 643,205.81
  4. Step 4: Simplify right side
    489,131.72x = 413,713,717,233.79
  5. Step 5: Solve for x
    x = 413,713,717,233.79/489,131.72
  6. Step 6: Final answer
    x = 845,812.49

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.