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Finding the Third Proportional to 340,628.63 and 810,018.56

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Solution

The third proportional to 340,628.63 and 810,018.56 is: 1,926,232.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,628.63 : 810,018.56 = 810,018.56 : x
  2. Step 2: Convert to fraction form
    340,628.63/810,018.56 = 810,018.56/x
  3. Step 3: Cross multiply
    340,628.63x = 810,018.56 × 810,018.56
  4. Step 4: Simplify right side
    340,628.63x = 656,130,071,594.57
  5. Step 5: Solve for x
    x = 656,130,071,594.57/340,628.63
  6. Step 6: Final answer
    x = 1,926,232.92

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.