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Finding the Third Proportional to 218,160 and 320,058

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Solution

The third proportional to 218,160 and 320,058 is: 469,550.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,160 : 320,058 = 320,058 : x
  2. Step 2: Convert to fraction form
    218,160/320,058 = 320,058/x
  3. Step 3: Cross multiply
    218,160x = 320,058 × 320,058
  4. Step 4: Simplify right side
    218,160x = 102,437,123,364
  5. Step 5: Solve for x
    x = 102,437,123,364/218,160
  6. Step 6: Final answer
    x = 469,550.44

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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.