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Finding the Third Proportional to 321,659 and 473,131

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Solution

The third proportional to 321,659 and 473,131 is: 695,932.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,659 : 473,131 = 473,131 : x
  2. Step 2: Convert to fraction form
    321,659/473,131 = 473,131/x
  3. Step 3: Cross multiply
    321,659x = 473,131 × 473,131
  4. Step 4: Simplify right side
    321,659x = 223,852,943,161
  5. Step 5: Solve for x
    x = 223,852,943,161/321,659
  6. Step 6: Final answer
    x = 695,932.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.