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Finding the Third Proportional to 180.77 and 390.02

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Solution

The third proportional to 180.77 and 390.02 is: 841.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.77 : 390.02 = 390.02 : x
  2. Step 2: Convert to fraction form
    180.77/390.02 = 390.02/x
  3. Step 3: Cross multiply
    180.77x = 390.02 × 390.02
  4. Step 4: Simplify right side
    180.77x = 152,118.28
  5. Step 5: Solve for x
    x = 152,118.28/180.77
  6. Step 6: Final answer
    x = 841.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.