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Finding the Third Proportional to 426,872.11 and 909,047.81

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Solution

The third proportional to 426,872.11 and 909,047.81 is: 1,935,867.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,872.11 : 909,047.81 = 909,047.81 : x
  2. Step 2: Convert to fraction form
    426,872.11/909,047.81 = 909,047.81/x
  3. Step 3: Cross multiply
    426,872.11x = 909,047.81 × 909,047.81
  4. Step 4: Simplify right side
    426,872.11x = 826,367,925,411.04
  5. Step 5: Solve for x
    x = 826,367,925,411.04/426,872.11
  6. Step 6: Final answer
    x = 1,935,867.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.