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Finding the Third Proportional to 292,993 and 621,971

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Solution

The third proportional to 292,993 and 621,971 is: 1,320,331.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,993 : 621,971 = 621,971 : x
  2. Step 2: Convert to fraction form
    292,993/621,971 = 621,971/x
  3. Step 3: Cross multiply
    292,993x = 621,971 × 621,971
  4. Step 4: Simplify right side
    292,993x = 386,847,924,841
  5. Step 5: Solve for x
    x = 386,847,924,841/292,993
  6. Step 6: Final answer
    x = 1,320,331.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.