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Finding the Third Proportional to 302,686.50 and 636,739.50

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Solution

The third proportional to 302,686.50 and 636,739.50 is: 1,339,462.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,686.50 : 636,739.50 = 636,739.50 : x
  2. Step 2: Convert to fraction form
    302,686.50/636,739.50 = 636,739.50/x
  3. Step 3: Cross multiply
    302,686.50x = 636,739.50 × 636,739.50
  4. Step 4: Simplify right side
    302,686.50x = 405,437,190,860.25
  5. Step 5: Solve for x
    x = 405,437,190,860.25/302,686.50
  6. Step 6: Final answer
    x = 1,339,462.42

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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.