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Finding the Third Proportional to 252,404,216 and 377,597,343

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Solution

The third proportional to 252,404,216 and 377,597,343 is: 564,886,576.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,404,216 : 377,597,343 = 377,597,343 : x
  2. Step 2: Convert to fraction form
    252,404,216/377,597,343 = 377,597,343/x
  3. Step 3: Cross multiply
    252,404,216x = 377,597,343 × 377,597,343
  4. Step 4: Simplify right side
    252,404,216x = 142,579,753,440,659,648
  5. Step 5: Solve for x
    x = 142,579,753,440,659,648/252,404,216
  6. Step 6: Final answer
    x = 564,886,576.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.