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Finding the Third Proportional to 101,476 and 161,610

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Solution

The third proportional to 101,476 and 161,610 is: 257,379.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,476 : 161,610 = 161,610 : x
  2. Step 2: Convert to fraction form
    101,476/161,610 = 161,610/x
  3. Step 3: Cross multiply
    101,476x = 161,610 × 161,610
  4. Step 4: Simplify right side
    101,476x = 26,117,792,100
  5. Step 5: Solve for x
    x = 26,117,792,100/101,476
  6. Step 6: Final answer
    x = 257,379.01

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.