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Finding the Third Proportional to 290,839,146 and 636,405,852

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Solution

The third proportional to 290,839,146 and 636,405,852 is: 1,392,564,976.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,839,146 : 636,405,852 = 636,405,852 : x
  2. Step 2: Convert to fraction form
    290,839,146/636,405,852 = 636,405,852/x
  3. Step 3: Cross multiply
    290,839,146x = 636,405,852 × 636,405,852
  4. Step 4: Simplify right side
    290,839,146x = 405,012,408,459,845,888
  5. Step 5: Solve for x
    x = 405,012,408,459,845,888/290,839,146
  6. Step 6: Final answer
    x = 1,392,564,976.31

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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.