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Finding the Third Proportional to 245,664 and 517,416

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Solution

The third proportional to 245,664 and 517,416 is: 1,089,778.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,664 : 517,416 = 517,416 : x
  2. Step 2: Convert to fraction form
    245,664/517,416 = 517,416/x
  3. Step 3: Cross multiply
    245,664x = 517,416 × 517,416
  4. Step 4: Simplify right side
    245,664x = 267,719,317,056
  5. Step 5: Solve for x
    x = 267,719,317,056/245,664
  6. Step 6: Final answer
    x = 1,089,778.38

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.