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Finding the Third Proportional to 322,881.50 and 706,939.21

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Solution

The third proportional to 322,881.50 and 706,939.21 is: 1,547,821.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,881.50 : 706,939.21 = 706,939.21 : x
  2. Step 2: Convert to fraction form
    322,881.50/706,939.21 = 706,939.21/x
  3. Step 3: Cross multiply
    322,881.50x = 706,939.21 × 706,939.21
  4. Step 4: Simplify right side
    322,881.50x = 499,763,042,437.97
  5. Step 5: Solve for x
    x = 499,763,042,437.97/322,881.50
  6. Step 6: Final answer
    x = 1,547,821.84

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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.