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Finding the Third Proportional to 105,280 and 161,813

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Solution

The third proportional to 105,280 and 161,813 is: 248,702.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,280 : 161,813 = 161,813 : x
  2. Step 2: Convert to fraction form
    105,280/161,813 = 161,813/x
  3. Step 3: Cross multiply
    105,280x = 161,813 × 161,813
  4. Step 4: Simplify right side
    105,280x = 26,183,446,969
  5. Step 5: Solve for x
    x = 26,183,446,969/105,280
  6. Step 6: Final answer
    x = 248,702.95

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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.