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Finding the Third Proportional to 478,757 and 728,085

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Solution

The third proportional to 478,757 and 728,085 is: 1,107,258.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,757 : 728,085 = 728,085 : x
  2. Step 2: Convert to fraction form
    478,757/728,085 = 728,085/x
  3. Step 3: Cross multiply
    478,757x = 728,085 × 728,085
  4. Step 4: Simplify right side
    478,757x = 530,107,767,225
  5. Step 5: Solve for x
    x = 530,107,767,225/478,757
  6. Step 6: Final answer
    x = 1,107,258.52

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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.