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Finding the Third Proportional to 509.63 and 701.06

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Solution

The third proportional to 509.63 and 701.06 is: 964.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.63 : 701.06 = 701.06 : x
  2. Step 2: Convert to fraction form
    509.63/701.06 = 701.06/x
  3. Step 3: Cross multiply
    509.63x = 701.06 × 701.06
  4. Step 4: Simplify right side
    509.63x = 491,488.63
  5. Step 5: Solve for x
    x = 491,488.63/509.63
  6. Step 6: Final answer
    x = 964.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.