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Finding the Third Proportional to 486.84 and 661.50

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Solution

The third proportional to 486.84 and 661.50 is: 898.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.84 : 661.50 = 661.50 : x
  2. Step 2: Convert to fraction form
    486.84/661.50 = 661.50/x
  3. Step 3: Cross multiply
    486.84x = 661.50 × 661.50
  4. Step 4: Simplify right side
    486.84x = 437,582.25
  5. Step 5: Solve for x
    x = 437,582.25/486.84
  6. Step 6: Final answer
    x = 898.81

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.