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Finding the Third Proportional to 382,720 and 841,472

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Solution

The third proportional to 382,720 and 841,472 is: 1,850,112.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,720 : 841,472 = 841,472 : x
  2. Step 2: Convert to fraction form
    382,720/841,472 = 841,472/x
  3. Step 3: Cross multiply
    382,720x = 841,472 × 841,472
  4. Step 4: Simplify right side
    382,720x = 708,075,126,784
  5. Step 5: Solve for x
    x = 708,075,126,784/382,720
  6. Step 6: Final answer
    x = 1,850,112.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.