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Finding the Third Proportional to 290,839,147 and 636,405,854

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Solution

The third proportional to 290,839,147 and 636,405,854 is: 1,392,564,980.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,839,147 : 636,405,854 = 636,405,854 : x
  2. Step 2: Convert to fraction form
    290,839,147/636,405,854 = 636,405,854/x
  3. Step 3: Cross multiply
    290,839,147x = 636,405,854 × 636,405,854
  4. Step 4: Simplify right side
    290,839,147x = 405,012,411,005,469,312
  5. Step 5: Solve for x
    x = 405,012,411,005,469,312/290,839,147
  6. Step 6: Final answer
    x = 1,392,564,980.28

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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.