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Finding the Third Proportional to 218,153.25 and 320,047.88

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Solution

The third proportional to 218,153.25 and 320,047.88 is: 469,535.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,153.25 : 320,047.88 = 320,047.88 : x
  2. Step 2: Convert to fraction form
    218,153.25/320,047.88 = 320,047.88/x
  3. Step 3: Cross multiply
    218,153.25x = 320,047.88 × 320,047.88
  4. Step 4: Simplify right side
    218,153.25x = 102,430,642,292.02
  5. Step 5: Solve for x
    x = 102,430,642,292.02/218,153.25
  6. Step 6: Final answer
    x = 469,535.26

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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.