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Finding the Third Proportional to 485,448 and 728,168

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Solution

The third proportional to 485,448 and 728,168 is: 1,092,246.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,448 : 728,168 = 728,168 : x
  2. Step 2: Convert to fraction form
    485,448/728,168 = 728,168/x
  3. Step 3: Cross multiply
    485,448x = 728,168 × 728,168
  4. Step 4: Simplify right side
    485,448x = 530,228,636,224
  5. Step 5: Solve for x
    x = 530,228,636,224/485,448
  6. Step 6: Final answer
    x = 1,092,246.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.