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Finding the Third Proportional to 321,669 and 473,143.50

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Solution

The third proportional to 321,669 and 473,143.50 is: 695,947.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,669 : 473,143.50 = 473,143.50 : x
  2. Step 2: Convert to fraction form
    321,669/473,143.50 = 473,143.50/x
  3. Step 3: Cross multiply
    321,669x = 473,143.50 × 473,143.50
  4. Step 4: Simplify right side
    321,669x = 223,864,771,592.25
  5. Step 5: Solve for x
    x = 223,864,771,592.25/321,669
  6. Step 6: Final answer
    x = 695,947.61

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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.