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Finding the Third Proportional to 154,769 and 208,813

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Solution

The third proportional to 154,769 and 208,813 is: 281,728.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,769 : 208,813 = 208,813 : x
  2. Step 2: Convert to fraction form
    154,769/208,813 = 208,813/x
  3. Step 3: Cross multiply
    154,769x = 208,813 × 208,813
  4. Step 4: Simplify right side
    154,769x = 43,602,868,969
  5. Step 5: Solve for x
    x = 43,602,868,969/154,769
  6. Step 6: Final answer
    x = 281,728.70

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.