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Finding the Third Proportional to 305,770 and 415,224

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Solution

The third proportional to 305,770 and 415,224 is: 563,858.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,770 : 415,224 = 415,224 : x
  2. Step 2: Convert to fraction form
    305,770/415,224 = 415,224/x
  3. Step 3: Cross multiply
    305,770x = 415,224 × 415,224
  4. Step 4: Simplify right side
    305,770x = 172,410,970,176
  5. Step 5: Solve for x
    x = 172,410,970,176/305,770
  6. Step 6: Final answer
    x = 563,858.36

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.