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Finding the Third Proportional to 344,016 and 521,208

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Solution

The third proportional to 344,016 and 521,208 is: 789,666.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,016 : 521,208 = 521,208 : x
  2. Step 2: Convert to fraction form
    344,016/521,208 = 521,208/x
  3. Step 3: Cross multiply
    344,016x = 521,208 × 521,208
  4. Step 4: Simplify right side
    344,016x = 271,657,779,264
  5. Step 5: Solve for x
    x = 271,657,779,264/344,016
  6. Step 6: Final answer
    x = 789,666.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.