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Finding the Third Proportional to 407.95 and 862.40

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Solution

The third proportional to 407.95 and 862.40 is: 1,823.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.95 : 862.40 = 862.40 : x
  2. Step 2: Convert to fraction form
    407.95/862.40 = 862.40/x
  3. Step 3: Cross multiply
    407.95x = 862.40 × 862.40
  4. Step 4: Simplify right side
    407.95x = 743,731.07
  5. Step 5: Solve for x
    x = 743,731.07/407.95
  6. Step 6: Final answer
    x = 1,823.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.