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Finding the Third Proportional to 462,143.81 and 1,008,360.56

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Solution

The third proportional to 462,143.81 and 1,008,360.56 is: 2,200,161.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,143.81 : 1,008,360.56 = 1,008,360.56 : x
  2. Step 2: Convert to fraction form
    462,143.81/1,008,360.56 = 1,008,360.56/x
  3. Step 3: Cross multiply
    462,143.81x = 1,008,360.56 × 1,008,360.56
  4. Step 4: Simplify right side
    462,143.81x = 1,016,791,024,005.32
  5. Step 5: Solve for x
    x = 1,016,791,024,005.32/462,143.81
  6. Step 6: Final answer
    x = 2,200,161.50

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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.