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Finding the Third Proportional to 218,280 and 337,152

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Solution

The third proportional to 218,280 and 337,152 is: 520,759.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,280 : 337,152 = 337,152 : x
  2. Step 2: Convert to fraction form
    218,280/337,152 = 337,152/x
  3. Step 3: Cross multiply
    218,280x = 337,152 × 337,152
  4. Step 4: Simplify right side
    218,280x = 113,671,471,104
  5. Step 5: Solve for x
    x = 113,671,471,104/218,280
  6. Step 6: Final answer
    x = 520,759.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.