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Finding the Third Proportional to 321,690 and 473,169

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Solution

The third proportional to 321,690 and 473,169 is: 695,977.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,690 : 473,169 = 473,169 : x
  2. Step 2: Convert to fraction form
    321,690/473,169 = 473,169/x
  3. Step 3: Cross multiply
    321,690x = 473,169 × 473,169
  4. Step 4: Simplify right side
    321,690x = 223,888,902,561
  5. Step 5: Solve for x
    x = 223,888,902,561/321,690
  6. Step 6: Final answer
    x = 695,977.19

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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.