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Finding the Third Proportional to 200,277 and 428,985

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Solution

The third proportional to 200,277 and 428,985 is: 918,868.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,277 : 428,985 = 428,985 : x
  2. Step 2: Convert to fraction form
    200,277/428,985 = 428,985/x
  3. Step 3: Cross multiply
    200,277x = 428,985 × 428,985
  4. Step 4: Simplify right side
    200,277x = 184,028,130,225
  5. Step 5: Solve for x
    x = 184,028,130,225/200,277
  6. Step 6: Final answer
    x = 918,868.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.