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Finding the Third Proportional to 200,069 and 308,423

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Solution

The third proportional to 200,069 and 308,423 is: 475,459.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,069 : 308,423 = 308,423 : x
  2. Step 2: Convert to fraction form
    200,069/308,423 = 308,423/x
  3. Step 3: Cross multiply
    200,069x = 308,423 × 308,423
  4. Step 4: Simplify right side
    200,069x = 95,124,746,929
  5. Step 5: Solve for x
    x = 95,124,746,929/200,069
  6. Step 6: Final answer
    x = 475,459.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.