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Finding the Third Proportional to 478,464 and 770,910

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Solution

The third proportional to 478,464 and 770,910 is: 1,242,104.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,464 : 770,910 = 770,910 : x
  2. Step 2: Convert to fraction form
    478,464/770,910 = 770,910/x
  3. Step 3: Cross multiply
    478,464x = 770,910 × 770,910
  4. Step 4: Simplify right side
    478,464x = 594,302,228,100
  5. Step 5: Solve for x
    x = 594,302,228,100/478,464
  6. Step 6: Final answer
    x = 1,242,104.38

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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.