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Finding the Third Proportional to 984.58 and 1,430.95

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Solution

The third proportional to 984.58 and 1,430.95 is: 2,079.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.58 : 1,430.95 = 1,430.95 : x
  2. Step 2: Convert to fraction form
    984.58/1,430.95 = 1,430.95/x
  3. Step 3: Cross multiply
    984.58x = 1,430.95 × 1,430.95
  4. Step 4: Simplify right side
    984.58x = 2,047,610.08
  5. Step 5: Solve for x
    x = 2,047,610.08/984.58
  6. Step 6: Final answer
    x = 2,079.68

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.