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Finding the Third Proportional to 621,101 and 940,971

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Solution

The third proportional to 621,101 and 940,971 is: 1,425,575.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,101 : 940,971 = 940,971 : x
  2. Step 2: Convert to fraction form
    621,101/940,971 = 940,971/x
  3. Step 3: Cross multiply
    621,101x = 940,971 × 940,971
  4. Step 4: Simplify right side
    621,101x = 885,426,422,841
  5. Step 5: Solve for x
    x = 885,426,422,841/621,101
  6. Step 6: Final answer
    x = 1,425,575.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.