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Finding the Third Proportional to 321,692 and 473,172

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Solution

The third proportional to 321,692 and 473,172 is: 695,981.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,692 : 473,172 = 473,172 : x
  2. Step 2: Convert to fraction form
    321,692/473,172 = 473,172/x
  3. Step 3: Cross multiply
    321,692x = 473,172 × 473,172
  4. Step 4: Simplify right side
    321,692x = 223,891,741,584
  5. Step 5: Solve for x
    x = 223,891,741,584/321,692
  6. Step 6: Final answer
    x = 695,981.69

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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.