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Finding the Third Proportional to 204,163,110 and 448,007,040

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Solution

The third proportional to 204,163,110 and 448,007,040 is: 983,088,021.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,163,110 : 448,007,040 = 448,007,040 : x
  2. Step 2: Convert to fraction form
    204,163,110/448,007,040 = 448,007,040/x
  3. Step 3: Cross multiply
    204,163,110x = 448,007,040 × 448,007,040
  4. Step 4: Simplify right side
    204,163,110x = 200,710,307,889,561,600
  5. Step 5: Solve for x
    x = 200,710,307,889,561,600/204,163,110
  6. Step 6: Final answer
    x = 983,088,021.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.