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Finding the Third Proportional to 840,240 and 1,291,509

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Solution

The third proportional to 840,240 and 1,291,509 is: 1,985,141.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,240 : 1,291,509 = 1,291,509 : x
  2. Step 2: Convert to fraction form
    840,240/1,291,509 = 1,291,509/x
  3. Step 3: Cross multiply
    840,240x = 1,291,509 × 1,291,509
  4. Step 4: Simplify right side
    840,240x = 1,667,995,497,081
  5. Step 5: Solve for x
    x = 1,667,995,497,081/840,240
  6. Step 6: Final answer
    x = 1,985,141.74

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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.