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Finding the Third Proportional to 344,426 and 729,826

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Solution

The third proportional to 344,426 and 729,826 is: 1,546,474.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,426 : 729,826 = 729,826 : x
  2. Step 2: Convert to fraction form
    344,426/729,826 = 729,826/x
  3. Step 3: Cross multiply
    344,426x = 729,826 × 729,826
  4. Step 4: Simplify right side
    344,426x = 532,645,990,276
  5. Step 5: Solve for x
    x = 532,645,990,276/344,426
  6. Step 6: Final answer
    x = 1,546,474.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.