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Finding the Third Proportional to 478,422 and 770,850

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Solution

The third proportional to 478,422 and 770,850 is: 1,242,020.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,422 : 770,850 = 770,850 : x
  2. Step 2: Convert to fraction form
    478,422/770,850 = 770,850/x
  3. Step 3: Cross multiply
    478,422x = 770,850 × 770,850
  4. Step 4: Simplify right side
    478,422x = 594,209,722,500
  5. Step 5: Solve for x
    x = 594,209,722,500/478,422
  6. Step 6: Final answer
    x = 1,242,020.06

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.