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Finding the Third Proportional to 201,276 and 310,203

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Solution

The third proportional to 201,276 and 310,203 is: 478,079.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,276 : 310,203 = 310,203 : x
  2. Step 2: Convert to fraction form
    201,276/310,203 = 310,203/x
  3. Step 3: Cross multiply
    201,276x = 310,203 × 310,203
  4. Step 4: Simplify right side
    201,276x = 96,225,901,209
  5. Step 5: Solve for x
    x = 96,225,901,209/201,276
  6. Step 6: Final answer
    x = 478,079.36

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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.