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Finding the Third Proportional to 109,400,072 and 233,444,368

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Solution

The third proportional to 109,400,072 and 233,444,368 is: 498,137,450.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,400,072 : 233,444,368 = 233,444,368 : x
  2. Step 2: Convert to fraction form
    109,400,072/233,444,368 = 233,444,368/x
  3. Step 3: Cross multiply
    109,400,072x = 233,444,368 × 233,444,368
  4. Step 4: Simplify right side
    109,400,072x = 54,496,272,950,919,424
  5. Step 5: Solve for x
    x = 54,496,272,950,919,424/109,400,072
  6. Step 6: Final answer
    x = 498,137,450.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.