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Finding the Third Proportional to 478,408 and 770,838

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Solution

The third proportional to 478,408 and 770,838 is: 1,242,017.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,408 : 770,838 = 770,838 : x
  2. Step 2: Convert to fraction form
    478,408/770,838 = 770,838/x
  3. Step 3: Cross multiply
    478,408x = 770,838 × 770,838
  4. Step 4: Simplify right side
    478,408x = 594,191,222,244
  5. Step 5: Solve for x
    x = 594,191,222,244/478,408
  6. Step 6: Final answer
    x = 1,242,017.74

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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.