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Finding the Third Proportional to 331,634,733 and 709,856,256

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Solution

The third proportional to 331,634,733 and 709,856,256 is: 1,519,430,427.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,634,733 : 709,856,256 = 709,856,256 : x
  2. Step 2: Convert to fraction form
    331,634,733/709,856,256 = 709,856,256/x
  3. Step 3: Cross multiply
    331,634,733x = 709,856,256 × 709,856,256
  4. Step 4: Simplify right side
    331,634,733x = 503,895,904,182,337,536
  5. Step 5: Solve for x
    x = 503,895,904,182,337,536/331,634,733
  6. Step 6: Final answer
    x = 1,519,430,427.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.