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Finding the Third Proportional to 204,466,080 and 440,110,032

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Solution

The third proportional to 204,466,080 and 440,110,032 is: 947,329,944.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,466,080 : 440,110,032 = 440,110,032 : x
  2. Step 2: Convert to fraction form
    204,466,080/440,110,032 = 440,110,032/x
  3. Step 3: Cross multiply
    204,466,080x = 440,110,032 × 440,110,032
  4. Step 4: Simplify right side
    204,466,080x = 193,696,840,267,041,024
  5. Step 5: Solve for x
    x = 193,696,840,267,041,024/204,466,080
  6. Step 6: Final answer
    x = 947,329,944.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.