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Finding the Third Proportional to 429,244 and 847,678

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Solution

The third proportional to 429,244 and 847,678 is: 1,674,008.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,244 : 847,678 = 847,678 : x
  2. Step 2: Convert to fraction form
    429,244/847,678 = 847,678/x
  3. Step 3: Cross multiply
    429,244x = 847,678 × 847,678
  4. Step 4: Simplify right side
    429,244x = 718,557,991,684
  5. Step 5: Solve for x
    x = 718,557,991,684/429,244
  6. Step 6: Final answer
    x = 1,674,008.24

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.