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Finding the Third Proportional to 218,241.50 and 336,703.13

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Solution

The third proportional to 218,241.50 and 336,703.13 is: 519,465.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,241.50 : 336,703.13 = 336,703.13 : x
  2. Step 2: Convert to fraction form
    218,241.50/336,703.13 = 336,703.13/x
  3. Step 3: Cross multiply
    218,241.50x = 336,703.13 × 336,703.13
  4. Step 4: Simplify right side
    218,241.50x = 113,368,994,384.77
  5. Step 5: Solve for x
    x = 113,368,994,384.77/218,241.50
  6. Step 6: Final answer
    x = 519,465.80

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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.