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Finding the Third Proportional to 105,276 and 136,590

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Solution

The third proportional to 105,276 and 136,590 is: 177,218.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,276 : 136,590 = 136,590 : x
  2. Step 2: Convert to fraction form
    105,276/136,590 = 136,590/x
  3. Step 3: Cross multiply
    105,276x = 136,590 × 136,590
  4. Step 4: Simplify right side
    105,276x = 18,656,828,100
  5. Step 5: Solve for x
    x = 18,656,828,100/105,276
  6. Step 6: Final answer
    x = 177,218.25

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.