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Finding the Third Proportional to 200,470 and 308,263

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Solution

The third proportional to 200,470 and 308,263 is: 474,016.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,470 : 308,263 = 308,263 : x
  2. Step 2: Convert to fraction form
    200,470/308,263 = 308,263/x
  3. Step 3: Cross multiply
    200,470x = 308,263 × 308,263
  4. Step 4: Simplify right side
    200,470x = 95,026,077,169
  5. Step 5: Solve for x
    x = 95,026,077,169/200,470
  6. Step 6: Final answer
    x = 474,016.45

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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.