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Finding the Third Proportional to 210,015 and 311,728

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Solution

The third proportional to 210,015 and 311,728 is: 462,701.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,015 : 311,728 = 311,728 : x
  2. Step 2: Convert to fraction form
    210,015/311,728 = 311,728/x
  3. Step 3: Cross multiply
    210,015x = 311,728 × 311,728
  4. Step 4: Simplify right side
    210,015x = 97,174,345,984
  5. Step 5: Solve for x
    x = 97,174,345,984/210,015
  6. Step 6: Final answer
    x = 462,701.93

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.