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Finding the Third Proportional to 409,526,469 and 579,467,398.50

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Solution

The third proportional to 409,526,469 and 579,467,398.50 is: 819,928,603.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,526,469 : 579,467,398.50 = 579,467,398.50 : x
  2. Step 2: Convert to fraction form
    409,526,469/579,467,398.50 = 579,467,398.50/x
  3. Step 3: Cross multiply
    409,526,469x = 579,467,398.50 × 579,467,398.50
  4. Step 4: Simplify right side
    409,526,469x = 335,782,465,924,357,824
  5. Step 5: Solve for x
    x = 335,782,465,924,357,824/409,526,469
  6. Step 6: Final answer
    x = 819,928,603.75

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.