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Finding the Third Proportional to 343,964 and 521,136

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Solution

The third proportional to 343,964 and 521,136 is: 789,567.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,964 : 521,136 = 521,136 : x
  2. Step 2: Convert to fraction form
    343,964/521,136 = 521,136/x
  3. Step 3: Cross multiply
    343,964x = 521,136 × 521,136
  4. Step 4: Simplify right side
    343,964x = 271,582,730,496
  5. Step 5: Solve for x
    x = 271,582,730,496/343,964
  6. Step 6: Final answer
    x = 789,567.31

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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.