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Finding the Third Proportional to 824.40 and 1,907.22

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Solution

The third proportional to 824.40 and 1,907.22 is: 4,412.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.40 : 1,907.22 = 1,907.22 : x
  2. Step 2: Convert to fraction form
    824.40/1,907.22 = 1,907.22/x
  3. Step 3: Cross multiply
    824.40x = 1,907.22 × 1,907.22
  4. Step 4: Simplify right side
    824.40x = 3,637,479.64
  5. Step 5: Solve for x
    x = 3,637,479.64/824.40
  6. Step 6: Final answer
    x = 4,412.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.