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Finding the Third Proportional to 287,966.39 and 628,420.78

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Solution

The third proportional to 287,966.39 and 628,420.78 is: 1,371,384.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,966.39 : 628,420.78 = 628,420.78 : x
  2. Step 2: Convert to fraction form
    287,966.39/628,420.78 = 628,420.78/x
  3. Step 3: Cross multiply
    287,966.39x = 628,420.78 × 628,420.78
  4. Step 4: Simplify right side
    287,966.39x = 394,912,678,306.86
  5. Step 5: Solve for x
    x = 394,912,678,306.86/287,966.39
  6. Step 6: Final answer
    x = 1,371,384.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.