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Finding the Third Proportional to 478,767 and 728,100

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Solution

The third proportional to 478,767 and 728,100 is: 1,107,281.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,767 : 728,100 = 728,100 : x
  2. Step 2: Convert to fraction form
    478,767/728,100 = 728,100/x
  3. Step 3: Cross multiply
    478,767x = 728,100 × 728,100
  4. Step 4: Simplify right side
    478,767x = 530,129,610,000
  5. Step 5: Solve for x
    x = 530,129,610,000/478,767
  6. Step 6: Final answer
    x = 1,107,281.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.