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Finding the Third Proportional to 328.63 and 707.88

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Solution

The third proportional to 328.63 and 707.88 is: 1,524.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.63 : 707.88 = 707.88 : x
  2. Step 2: Convert to fraction form
    328.63/707.88 = 707.88/x
  3. Step 3: Cross multiply
    328.63x = 707.88 × 707.88
  4. Step 4: Simplify right side
    328.63x = 501,087.02
  5. Step 5: Solve for x
    x = 501,087.02/328.63
  6. Step 6: Final answer
    x = 1,524.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.