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Finding the Third Proportional to 207,844,218 and 290,578,465

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Solution

The third proportional to 207,844,218 and 290,578,465 is: 406,245,817.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,844,218 : 290,578,465 = 290,578,465 : x
  2. Step 2: Convert to fraction form
    207,844,218/290,578,465 = 290,578,465/x
  3. Step 3: Cross multiply
    207,844,218x = 290,578,465 × 290,578,465
  4. Step 4: Simplify right side
    207,844,218x = 84,435,844,321,756,224
  5. Step 5: Solve for x
    x = 84,435,844,321,756,224/207,844,218
  6. Step 6: Final answer
    x = 406,245,817.83

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.