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Finding the Third Proportional to 388,848 and 838,392

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Solution

The third proportional to 388,848 and 838,392 is: 1,807,650.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,848 : 838,392 = 838,392 : x
  2. Step 2: Convert to fraction form
    388,848/838,392 = 838,392/x
  3. Step 3: Cross multiply
    388,848x = 838,392 × 838,392
  4. Step 4: Simplify right side
    388,848x = 702,901,145,664
  5. Step 5: Solve for x
    x = 702,901,145,664/388,848
  6. Step 6: Final answer
    x = 1,807,650.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.