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Finding the Third Proportional to 86,556 and 130,770

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Solution

The third proportional to 86,556 and 130,770 is: 197,569.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,556 : 130,770 = 130,770 : x
  2. Step 2: Convert to fraction form
    86,556/130,770 = 130,770/x
  3. Step 3: Cross multiply
    86,556x = 130,770 × 130,770
  4. Step 4: Simplify right side
    86,556x = 17,100,792,900
  5. Step 5: Solve for x
    x = 17,100,792,900/86,556
  6. Step 6: Final answer
    x = 197,569.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.