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Finding the Third Proportional to 344,160 and 521,420

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Solution

The third proportional to 344,160 and 521,420 is: 789,977.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,160 : 521,420 = 521,420 : x
  2. Step 2: Convert to fraction form
    344,160/521,420 = 521,420/x
  3. Step 3: Cross multiply
    344,160x = 521,420 × 521,420
  4. Step 4: Simplify right side
    344,160x = 271,878,816,400
  5. Step 5: Solve for x
    x = 271,878,816,400/344,160
  6. Step 6: Final answer
    x = 789,977.96

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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.