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Finding the Third Proportional to 201,026 and 310,985

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Solution

The third proportional to 201,026 and 310,985 is: 481,090.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,026 : 310,985 = 310,985 : x
  2. Step 2: Convert to fraction form
    201,026/310,985 = 310,985/x
  3. Step 3: Cross multiply
    201,026x = 310,985 × 310,985
  4. Step 4: Simplify right side
    201,026x = 96,711,670,225
  5. Step 5: Solve for x
    x = 96,711,670,225/201,026
  6. Step 6: Final answer
    x = 481,090.36

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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.