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Finding the Third Proportional to 478,406 and 770,835

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Solution

The third proportional to 478,406 and 770,835 is: 1,242,013.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,406 : 770,835 = 770,835 : x
  2. Step 2: Convert to fraction form
    478,406/770,835 = 770,835/x
  3. Step 3: Cross multiply
    478,406x = 770,835 × 770,835
  4. Step 4: Simplify right side
    478,406x = 594,186,597,225
  5. Step 5: Solve for x
    x = 594,186,597,225/478,406
  6. Step 6: Final answer
    x = 1,242,013.26

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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.