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Finding the Third Proportional to 293,981 and 643,986

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Solution

The third proportional to 293,981 and 643,986 is: 1,410,696.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,981 : 643,986 = 643,986 : x
  2. Step 2: Convert to fraction form
    293,981/643,986 = 643,986/x
  3. Step 3: Cross multiply
    293,981x = 643,986 × 643,986
  4. Step 4: Simplify right side
    293,981x = 414,717,968,196
  5. Step 5: Solve for x
    x = 414,717,968,196/293,981
  6. Step 6: Final answer
    x = 1,410,696.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.