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Finding the Third Proportional to 928.75 and 1,298.50

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Solution

The third proportional to 928.75 and 1,298.50 is: 1,815.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.75 : 1,298.50 = 1,298.50 : x
  2. Step 2: Convert to fraction form
    928.75/1,298.50 = 1,298.50/x
  3. Step 3: Cross multiply
    928.75x = 1,298.50 × 1,298.50
  4. Step 4: Simplify right side
    928.75x = 1,686,102.25
  5. Step 5: Solve for x
    x = 1,686,102.25/928.75
  6. Step 6: Final answer
    x = 1,815.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.