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Finding the Third Proportional to 972,072 and 2,121,019

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Solution

The third proportional to 972,072 and 2,121,019 is: 4,627,971.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,072 : 2,121,019 = 2,121,019 : x
  2. Step 2: Convert to fraction form
    972,072/2,121,019 = 2,121,019/x
  3. Step 3: Cross multiply
    972,072x = 2,121,019 × 2,121,019
  4. Step 4: Simplify right side
    972,072x = 4,498,721,598,361
  5. Step 5: Solve for x
    x = 4,498,721,598,361/972,072
  6. Step 6: Final answer
    x = 4,627,971.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.