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Finding the Third Proportional to 103,496 and 162,010

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Solution

The third proportional to 103,496 and 162,010 is: 253,606.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,496 : 162,010 = 162,010 : x
  2. Step 2: Convert to fraction form
    103,496/162,010 = 162,010/x
  3. Step 3: Cross multiply
    103,496x = 162,010 × 162,010
  4. Step 4: Simplify right side
    103,496x = 26,247,240,100
  5. Step 5: Solve for x
    x = 26,247,240,100/103,496
  6. Step 6: Final answer
    x = 253,606.32

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.