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Finding the Third Proportional to 200,045 and 309,545

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Solution

The third proportional to 200,045 and 309,545 is: 478,982.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,045 : 309,545 = 309,545 : x
  2. Step 2: Convert to fraction form
    200,045/309,545 = 309,545/x
  3. Step 3: Cross multiply
    200,045x = 309,545 × 309,545
  4. Step 4: Simplify right side
    200,045x = 95,818,107,025
  5. Step 5: Solve for x
    x = 95,818,107,025/200,045
  6. Step 6: Final answer
    x = 478,982.76

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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.