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Finding the Third Proportional to 429,194 and 638,715

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Solution

The third proportional to 429,194 and 638,715 is: 950,518.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,194 : 638,715 = 638,715 : x
  2. Step 2: Convert to fraction form
    429,194/638,715 = 638,715/x
  3. Step 3: Cross multiply
    429,194x = 638,715 × 638,715
  4. Step 4: Simplify right side
    429,194x = 407,956,851,225
  5. Step 5: Solve for x
    x = 407,956,851,225/429,194
  6. Step 6: Final answer
    x = 950,518.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.