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Finding the Third Proportional to 387,008 and 852,512

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Solution

The third proportional to 387,008 and 852,512 is: 1,877,937.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,008 : 852,512 = 852,512 : x
  2. Step 2: Convert to fraction form
    387,008/852,512 = 852,512/x
  3. Step 3: Cross multiply
    387,008x = 852,512 × 852,512
  4. Step 4: Simplify right side
    387,008x = 726,776,710,144
  5. Step 5: Solve for x
    x = 726,776,710,144/387,008
  6. Step 6: Final answer
    x = 1,877,937.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.