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Finding the Third Proportional to 429,250 and 847,690

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Solution

The third proportional to 429,250 and 847,690 is: 1,674,032.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,250 : 847,690 = 847,690 : x
  2. Step 2: Convert to fraction form
    429,250/847,690 = 847,690/x
  3. Step 3: Cross multiply
    429,250x = 847,690 × 847,690
  4. Step 4: Simplify right side
    429,250x = 718,578,336,100
  5. Step 5: Solve for x
    x = 718,578,336,100/429,250
  6. Step 6: Final answer
    x = 1,674,032.23

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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.