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Finding the Third Proportional to 344,457 and 729,918

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Solution

The third proportional to 344,457 and 729,918 is: 1,546,725.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,457 : 729,918 = 729,918 : x
  2. Step 2: Convert to fraction form
    344,457/729,918 = 729,918/x
  3. Step 3: Cross multiply
    344,457x = 729,918 × 729,918
  4. Step 4: Simplify right side
    344,457x = 532,780,286,724
  5. Step 5: Solve for x
    x = 532,780,286,724/344,457
  6. Step 6: Final answer
    x = 1,546,725.10

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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.