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Finding the Third Proportional to 387,072 and 829,440

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Solution

The third proportional to 387,072 and 829,440 is: 1,777,371.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,072 : 829,440 = 829,440 : x
  2. Step 2: Convert to fraction form
    387,072/829,440 = 829,440/x
  3. Step 3: Cross multiply
    387,072x = 829,440 × 829,440
  4. Step 4: Simplify right side
    387,072x = 687,970,713,600
  5. Step 5: Solve for x
    x = 687,970,713,600/387,072
  6. Step 6: Final answer
    x = 1,777,371.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.