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Finding the Third Proportional to 321,538 and 473,012

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Solution

The third proportional to 321,538 and 473,012 is: 695,844.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,538 : 473,012 = 473,012 : x
  2. Step 2: Convert to fraction form
    321,538/473,012 = 473,012/x
  3. Step 3: Cross multiply
    321,538x = 473,012 × 473,012
  4. Step 4: Simplify right side
    321,538x = 223,740,352,144
  5. Step 5: Solve for x
    x = 223,740,352,144/321,538
  6. Step 6: Final answer
    x = 695,844.20

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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.