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Finding the Third Proportional to 840,072 and 1,291,212

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Solution

The third proportional to 840,072 and 1,291,212 is: 1,984,625.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,072 : 1,291,212 = 1,291,212 : x
  2. Step 2: Convert to fraction form
    840,072/1,291,212 = 1,291,212/x
  3. Step 3: Cross multiply
    840,072x = 1,291,212 × 1,291,212
  4. Step 4: Simplify right side
    840,072x = 1,667,228,428,944
  5. Step 5: Solve for x
    x = 1,667,228,428,944/840,072
  6. Step 6: Final answer
    x = 1,984,625.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.