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Finding the Third Proportional to 86,394.09 and 130,798.55

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Solution

The third proportional to 86,394.09 and 130,798.55 is: 198,025.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,394.09 : 130,798.55 = 130,798.55 : x
  2. Step 2: Convert to fraction form
    86,394.09/130,798.55 = 130,798.55/x
  3. Step 3: Cross multiply
    86,394.09x = 130,798.55 × 130,798.55
  4. Step 4: Simplify right side
    86,394.09x = 17,108,259,864.61
  5. Step 5: Solve for x
    x = 17,108,259,864.61/86,394.09
  6. Step 6: Final answer
    x = 198,025.80

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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.