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Finding the Third Proportional to 105,312 and 136,620

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Solution

The third proportional to 105,312 and 136,620 is: 177,235.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,312 : 136,620 = 136,620 : x
  2. Step 2: Convert to fraction form
    105,312/136,620 = 136,620/x
  3. Step 3: Cross multiply
    105,312x = 136,620 × 136,620
  4. Step 4: Simplify right side
    105,312x = 18,665,024,400
  5. Step 5: Solve for x
    x = 18,665,024,400/105,312
  6. Step 6: Final answer
    x = 177,235.49

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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.