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Finding the Third Proportional to 321,714 and 473,205

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Solution

The third proportional to 321,714 and 473,205 is: 696,031.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,714 : 473,205 = 473,205 : x
  2. Step 2: Convert to fraction form
    321,714/473,205 = 473,205/x
  3. Step 3: Cross multiply
    321,714x = 473,205 × 473,205
  4. Step 4: Simplify right side
    321,714x = 223,922,972,025
  5. Step 5: Solve for x
    x = 223,922,972,025/321,714
  6. Step 6: Final answer
    x = 696,031.17

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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.