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Finding the Third Proportional to 63,120 and 136,969

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Solution

The third proportional to 63,120 and 136,969 is: 297,219.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,120 : 136,969 = 136,969 : x
  2. Step 2: Convert to fraction form
    63,120/136,969 = 136,969/x
  3. Step 3: Cross multiply
    63,120x = 136,969 × 136,969
  4. Step 4: Simplify right side
    63,120x = 18,760,506,961
  5. Step 5: Solve for x
    x = 18,760,506,961/63,120
  6. Step 6: Final answer
    x = 297,219.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.