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Finding the Third Proportional to 261 and 390.88

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Solution

The third proportional to 261 and 390.88 is: 585.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    261 : 390.88 = 390.88 : x
  2. Step 2: Convert to fraction form
    261/390.88 = 390.88/x
  3. Step 3: Cross multiply
    261x = 390.88 × 390.88
  4. Step 4: Simplify right side
    261x = 152,783.27
  5. Step 5: Solve for x
    x = 152,783.27/261
  6. Step 6: Final answer
    x = 585.38

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