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Finding the Third Proportional to 344,064 and 521,280

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Solution

The third proportional to 344,064 and 521,280 is: 789,774.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,064 : 521,280 = 521,280 : x
  2. Step 2: Convert to fraction form
    344,064/521,280 = 521,280/x
  3. Step 3: Cross multiply
    344,064x = 521,280 × 521,280
  4. Step 4: Simplify right side
    344,064x = 271,732,838,400
  5. Step 5: Solve for x
    x = 271,732,838,400/344,064
  6. Step 6: Final answer
    x = 789,774.11

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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.