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Finding the Third Proportional to 269,078,433 and 421,181,239

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Solution

The third proportional to 269,078,433 and 421,181,239 is: 659,263,673.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,078,433 : 421,181,239 = 421,181,239 : x
  2. Step 2: Convert to fraction form
    269,078,433/421,181,239 = 421,181,239/x
  3. Step 3: Cross multiply
    269,078,433x = 421,181,239 × 421,181,239
  4. Step 4: Simplify right side
    269,078,433x = 177,393,636,085,575,136
  5. Step 5: Solve for x
    x = 177,393,636,085,575,136/269,078,433
  6. Step 6: Final answer
    x = 659,263,673.08

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.