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Finding the Third Proportional to 321,283.97 and 705,628.34

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Solution

The third proportional to 321,283.97 and 705,628.34 is: 1,549,754.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,283.97 : 705,628.34 = 705,628.34 : x
  2. Step 2: Convert to fraction form
    321,283.97/705,628.34 = 705,628.34/x
  3. Step 3: Cross multiply
    321,283.97x = 705,628.34 × 705,628.34
  4. Step 4: Simplify right side
    321,283.97x = 497,911,348,477.93
  5. Step 5: Solve for x
    x = 497,911,348,477.93/321,283.97
  6. Step 6: Final answer
    x = 1,549,754.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.