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Finding the Third Proportional to 290,839,145 and 636,405,850

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Solution

The third proportional to 290,839,145 and 636,405,850 is: 1,392,564,972.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,839,145 : 636,405,850 = 636,405,850 : x
  2. Step 2: Convert to fraction form
    290,839,145/636,405,850 = 636,405,850/x
  3. Step 3: Cross multiply
    290,839,145x = 636,405,850 × 636,405,850
  4. Step 4: Simplify right side
    290,839,145x = 405,012,405,914,222,528
  5. Step 5: Solve for x
    x = 405,012,405,914,222,528/290,839,145
  6. Step 6: Final answer
    x = 1,392,564,972.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.