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Finding the Third Proportional to 378,409.50 and 569,209

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Solution

The third proportional to 378,409.50 and 569,209 is: 856,212.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,409.50 : 569,209 = 569,209 : x
  2. Step 2: Convert to fraction form
    378,409.50/569,209 = 569,209/x
  3. Step 3: Cross multiply
    378,409.50x = 569,209 × 569,209
  4. Step 4: Simplify right side
    378,409.50x = 323,998,885,681
  5. Step 5: Solve for x
    x = 323,998,885,681/378,409.50
  6. Step 6: Final answer
    x = 856,212.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.