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Finding the Third Proportional to 278,810,365 and 421,807,299

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Solution

The third proportional to 278,810,365 and 421,807,299 is: 638,144,846.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,810,365 : 421,807,299 = 421,807,299 : x
  2. Step 2: Convert to fraction form
    278,810,365/421,807,299 = 421,807,299/x
  3. Step 3: Cross multiply
    278,810,365x = 421,807,299 × 421,807,299
  4. Step 4: Simplify right side
    278,810,365x = 177,921,397,489,675,392
  5. Step 5: Solve for x
    x = 177,921,397,489,675,392/278,810,365
  6. Step 6: Final answer
    x = 638,144,846.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.