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Finding the Third Proportional to 429,378 and 564,795

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Solution

The third proportional to 429,378 and 564,795 is: 742,919.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,378 : 564,795 = 564,795 : x
  2. Step 2: Convert to fraction form
    429,378/564,795 = 564,795/x
  3. Step 3: Cross multiply
    429,378x = 564,795 × 564,795
  4. Step 4: Simplify right side
    429,378x = 318,993,392,025
  5. Step 5: Solve for x
    x = 318,993,392,025/429,378
  6. Step 6: Final answer
    x = 742,919.74

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.