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Finding the Third Proportional to 509.94 and 1,106.31

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Solution

The third proportional to 509.94 and 1,106.31 is: 2,400.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.94 : 1,106.31 = 1,106.31 : x
  2. Step 2: Convert to fraction form
    509.94/1,106.31 = 1,106.31/x
  3. Step 3: Cross multiply
    509.94x = 1,106.31 × 1,106.31
  4. Step 4: Simplify right side
    509.94x = 1,223,927.35
  5. Step 5: Solve for x
    x = 1,223,927.35/509.94
  6. Step 6: Final answer
    x = 2,400.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.