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Finding the Third Proportional to 426,078 and 932,340

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Solution

The third proportional to 426,078 and 932,340 is: 2,040,137.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,078 : 932,340 = 932,340 : x
  2. Step 2: Convert to fraction form
    426,078/932,340 = 932,340/x
  3. Step 3: Cross multiply
    426,078x = 932,340 × 932,340
  4. Step 4: Simplify right side
    426,078x = 869,257,875,600
  5. Step 5: Solve for x
    x = 869,257,875,600/426,078
  6. Step 6: Final answer
    x = 2,040,137.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.