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Finding the Third Proportional to 489,133.88 and 643,208.63

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Solution

The third proportional to 489,133.88 and 643,208.63 is: 845,816.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,133.88 : 643,208.63 = 643,208.63 : x
  2. Step 2: Convert to fraction form
    489,133.88/643,208.63 = 643,208.63/x
  3. Step 3: Cross multiply
    489,133.88x = 643,208.63 × 643,208.63
  4. Step 4: Simplify right side
    489,133.88x = 413,717,335,274.39
  5. Step 5: Solve for x
    x = 413,717,335,274.39/489,133.88
  6. Step 6: Final answer
    x = 845,816.16

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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.