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Finding the Third Proportional to 86,234.63 and 130,809.94

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Solution

The third proportional to 86,234.63 and 130,809.94 is: 198,426.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,234.63 : 130,809.94 = 130,809.94 : x
  2. Step 2: Convert to fraction form
    86,234.63/130,809.94 = 130,809.94/x
  3. Step 3: Cross multiply
    86,234.63x = 130,809.94 × 130,809.94
  4. Step 4: Simplify right side
    86,234.63x = 17,111,239,748.75
  5. Step 5: Solve for x
    x = 17,111,239,748.75/86,234.63
  6. Step 6: Final answer
    x = 198,426.56

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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.