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Finding the Third Proportional to 321,999.50 and 473,153.50

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Solution

The third proportional to 321,999.50 and 473,153.50 is: 695,262.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,999.50 : 473,153.50 = 473,153.50 : x
  2. Step 2: Convert to fraction form
    321,999.50/473,153.50 = 473,153.50/x
  3. Step 3: Cross multiply
    321,999.50x = 473,153.50 × 473,153.50
  4. Step 4: Simplify right side
    321,999.50x = 223,874,234,562.25
  5. Step 5: Solve for x
    x = 223,874,234,562.25/321,999.50
  6. Step 6: Final answer
    x = 695,262.68

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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.