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Finding the Third Proportional to 344,168 and 521,440

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Solution

The third proportional to 344,168 and 521,440 is: 790,020.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,168 : 521,440 = 521,440 : x
  2. Step 2: Convert to fraction form
    344,168/521,440 = 521,440/x
  3. Step 3: Cross multiply
    344,168x = 521,440 × 521,440
  4. Step 4: Simplify right side
    344,168x = 271,899,673,600
  5. Step 5: Solve for x
    x = 271,899,673,600/344,168
  6. Step 6: Final answer
    x = 790,020.20

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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.