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Finding the Third Proportional to 348,444 and 521,307

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Solution

The third proportional to 348,444 and 521,307 is: 779,927.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,444 : 521,307 = 521,307 : x
  2. Step 2: Convert to fraction form
    348,444/521,307 = 521,307/x
  3. Step 3: Cross multiply
    348,444x = 521,307 × 521,307
  4. Step 4: Simplify right side
    348,444x = 271,760,988,249
  5. Step 5: Solve for x
    x = 271,760,988,249/348,444
  6. Step 6: Final answer
    x = 779,927.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.