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Finding the Third Proportional to 344,688 and 729,118

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Solution

The third proportional to 344,688 and 729,118 is: 1,542,302.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,688 : 729,118 = 729,118 : x
  2. Step 2: Convert to fraction form
    344,688/729,118 = 729,118/x
  3. Step 3: Cross multiply
    344,688x = 729,118 × 729,118
  4. Step 4: Simplify right side
    344,688x = 531,613,057,924
  5. Step 5: Solve for x
    x = 531,613,057,924/344,688
  6. Step 6: Final answer
    x = 1,542,302.19

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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.