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Finding the Third Proportional to 302,762.81 and 636,895.41

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Solution

The third proportional to 302,762.81 and 636,895.41 is: 1,339,780.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,762.81 : 636,895.41 = 636,895.41 : x
  2. Step 2: Convert to fraction form
    302,762.81/636,895.41 = 636,895.41/x
  3. Step 3: Cross multiply
    302,762.81x = 636,895.41 × 636,895.41
  4. Step 4: Simplify right side
    302,762.81x = 405,635,758,502.35
  5. Step 5: Solve for x
    x = 405,635,758,502.35/302,762.81
  6. Step 6: Final answer
    x = 1,339,780.65

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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.