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Finding the Third Proportional to 426,026 and 933,536

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Solution

The third proportional to 426,026 and 933,536 is: 2,045,625.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,026 : 933,536 = 933,536 : x
  2. Step 2: Convert to fraction form
    426,026/933,536 = 933,536/x
  3. Step 3: Cross multiply
    426,026x = 933,536 × 933,536
  4. Step 4: Simplify right side
    426,026x = 871,489,463,296
  5. Step 5: Solve for x
    x = 871,489,463,296/426,026
  6. Step 6: Final answer
    x = 2,045,625.06

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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.