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Finding the Third Proportional to 224,203,325.63 and 489,203,971.88

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Solution

The third proportional to 224,203,325.63 and 489,203,971.88 is: 1,067,426,299.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,203,325.63 : 489,203,971.88 = 489,203,971.88 : x
  2. Step 2: Convert to fraction form
    224,203,325.63/489,203,971.88 = 489,203,971.88/x
  3. Step 3: Cross multiply
    224,203,325.63x = 489,203,971.88 × 489,203,971.88
  4. Step 4: Simplify right side
    224,203,325.63x = 239,320,526,098,275,776
  5. Step 5: Solve for x
    x = 239,320,526,098,275,776/224,203,325.63
  6. Step 6: Final answer
    x = 1,067,426,299.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.