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Finding the Third Proportional to 302,804 and 636,973

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Solution

The third proportional to 302,804 and 636,973 is: 1,339,924.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,804 : 636,973 = 636,973 : x
  2. Step 2: Convert to fraction form
    302,804/636,973 = 636,973/x
  3. Step 3: Cross multiply
    302,804x = 636,973 × 636,973
  4. Step 4: Simplify right side
    302,804x = 405,734,602,729
  5. Step 5: Solve for x
    x = 405,734,602,729/302,804
  6. Step 6: Final answer
    x = 1,339,924.84

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.