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Finding the Third Proportional to 379,368 and 817,848

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Solution

The third proportional to 379,368 and 817,848 is: 1,763,130.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,368 : 817,848 = 817,848 : x
  2. Step 2: Convert to fraction form
    379,368/817,848 = 817,848/x
  3. Step 3: Cross multiply
    379,368x = 817,848 × 817,848
  4. Step 4: Simplify right side
    379,368x = 668,875,351,104
  5. Step 5: Solve for x
    x = 668,875,351,104/379,368
  6. Step 6: Final answer
    x = 1,763,130.66

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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.