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Finding the Third Proportional to 428,588 and 933,368

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Solution

The third proportional to 428,588 and 933,368 is: 2,032,664.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,588 : 933,368 = 933,368 : x
  2. Step 2: Convert to fraction form
    428,588/933,368 = 933,368/x
  3. Step 3: Cross multiply
    428,588x = 933,368 × 933,368
  4. Step 4: Simplify right side
    428,588x = 871,175,823,424
  5. Step 5: Solve for x
    x = 871,175,823,424/428,588
  6. Step 6: Final answer
    x = 2,032,664.99

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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.