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Finding the Third Proportional to 429,246 and 847,682

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Solution

The third proportional to 429,246 and 847,682 is: 1,674,016.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,246 : 847,682 = 847,682 : x
  2. Step 2: Convert to fraction form
    429,246/847,682 = 847,682/x
  3. Step 3: Cross multiply
    429,246x = 847,682 × 847,682
  4. Step 4: Simplify right side
    429,246x = 718,564,773,124
  5. Step 5: Solve for x
    x = 718,564,773,124/429,246
  6. Step 6: Final answer
    x = 1,674,016.24

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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.