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Finding the Third Proportional to 378,407 and 585,971

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Solution

The third proportional to 378,407 and 585,971 is: 907,388.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,407 : 585,971 = 585,971 : x
  2. Step 2: Convert to fraction form
    378,407/585,971 = 585,971/x
  3. Step 3: Cross multiply
    378,407x = 585,971 × 585,971
  4. Step 4: Simplify right side
    378,407x = 343,362,012,841
  5. Step 5: Solve for x
    x = 343,362,012,841/378,407
  6. Step 6: Final answer
    x = 907,388.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.