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Finding the Third Proportional to 380,871 and 559,521

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Solution

The third proportional to 380,871 and 559,521 is: 821,967.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,871 : 559,521 = 559,521 : x
  2. Step 2: Convert to fraction form
    380,871/559,521 = 559,521/x
  3. Step 3: Cross multiply
    380,871x = 559,521 × 559,521
  4. Step 4: Simplify right side
    380,871x = 313,063,749,441
  5. Step 5: Solve for x
    x = 313,063,749,441/380,871
  6. Step 6: Final answer
    x = 821,967.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.