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Finding the Third Proportional to 86,056 and 130,907

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Solution

The third proportional to 86,056 and 130,907 is: 199,133.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,056 : 130,907 = 130,907 : x
  2. Step 2: Convert to fraction form
    86,056/130,907 = 130,907/x
  3. Step 3: Cross multiply
    86,056x = 130,907 × 130,907
  4. Step 4: Simplify right side
    86,056x = 17,136,642,649
  5. Step 5: Solve for x
    x = 17,136,642,649/86,056
  6. Step 6: Final answer
    x = 199,133.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.