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Finding the Third Proportional to 289,158,214.50 and 635,711,895

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Solution

The third proportional to 289,158,214.50 and 635,711,895 is: 1,397,607,237.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,158,214.50 : 635,711,895 = 635,711,895 : x
  2. Step 2: Convert to fraction form
    289,158,214.50/635,711,895 = 635,711,895/x
  3. Step 3: Cross multiply
    289,158,214.50x = 635,711,895 × 635,711,895
  4. Step 4: Simplify right side
    289,158,214.50x = 404,129,613,444,491,008
  5. Step 5: Solve for x
    x = 404,129,613,444,491,008/289,158,214.50
  6. Step 6: Final answer
    x = 1,397,607,237.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.