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Finding the Third Proportional to 273,216,842 and 419,694,486

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Solution

The third proportional to 273,216,842 and 419,694,486 is: 644,702,062.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,216,842 : 419,694,486 = 419,694,486 : x
  2. Step 2: Convert to fraction form
    273,216,842/419,694,486 = 419,694,486/x
  3. Step 3: Cross multiply
    273,216,842x = 419,694,486 × 419,694,486
  4. Step 4: Simplify right side
    273,216,842x = 176,143,461,578,804,192
  5. Step 5: Solve for x
    x = 176,143,461,578,804,192/273,216,842
  6. Step 6: Final answer
    x = 644,702,062.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.