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Finding the Third Proportional to 976,999 and 2,121,111

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Solution

The third proportional to 976,999 and 2,121,111 is: 4,605,032.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,999 : 2,121,111 = 2,121,111 : x
  2. Step 2: Convert to fraction form
    976,999/2,121,111 = 2,121,111/x
  3. Step 3: Cross multiply
    976,999x = 2,121,111 × 2,121,111
  4. Step 4: Simplify right side
    976,999x = 4,499,111,874,321
  5. Step 5: Solve for x
    x = 4,499,111,874,321/976,999
  6. Step 6: Final answer
    x = 4,605,032.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.