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Finding the Third Proportional to 478,396.13 and 770,816.25

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Solution

The third proportional to 478,396.13 and 770,816.25 is: 1,241,978.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,396.13 : 770,816.25 = 770,816.25 : x
  2. Step 2: Convert to fraction form
    478,396.13/770,816.25 = 770,816.25/x
  3. Step 3: Cross multiply
    478,396.13x = 770,816.25 × 770,816.25
  4. Step 4: Simplify right side
    478,396.13x = 594,157,691,264.06
  5. Step 5: Solve for x
    x = 594,157,691,264.06/478,396.13
  6. Step 6: Final answer
    x = 1,241,978.48

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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.