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Finding the Third Proportional to 321,648 and 473,118

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Solution

The third proportional to 321,648 and 473,118 is: 695,918.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,648 : 473,118 = 473,118 : x
  2. Step 2: Convert to fraction form
    321,648/473,118 = 473,118/x
  3. Step 3: Cross multiply
    321,648x = 473,118 × 473,118
  4. Step 4: Simplify right side
    321,648x = 223,840,641,924
  5. Step 5: Solve for x
    x = 223,840,641,924/321,648
  6. Step 6: Final answer
    x = 695,918.03

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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.