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Finding the Third Proportional to 438.63 and 1,025.13

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Solution

The third proportional to 438.63 and 1,025.13 is: 2,395.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.63 : 1,025.13 = 1,025.13 : x
  2. Step 2: Convert to fraction form
    438.63/1,025.13 = 1,025.13/x
  3. Step 3: Cross multiply
    438.63x = 1,025.13 × 1,025.13
  4. Step 4: Simplify right side
    438.63x = 1,050,881.27
  5. Step 5: Solve for x
    x = 1,050,881.27/438.63
  6. Step 6: Final answer
    x = 2,395.85

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.