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Finding the Third Proportional to 200,265 and 309,985

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Solution

The third proportional to 200,265 and 309,985 is: 479,817.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,265 : 309,985 = 309,985 : x
  2. Step 2: Convert to fraction form
    200,265/309,985 = 309,985/x
  3. Step 3: Cross multiply
    200,265x = 309,985 × 309,985
  4. Step 4: Simplify right side
    200,265x = 96,090,700,225
  5. Step 5: Solve for x
    x = 96,090,700,225/200,265
  6. Step 6: Final answer
    x = 479,817.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.