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Finding the Third Proportional to 357.47 and 538.03

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Solution

The third proportional to 357.47 and 538.03 is: 809.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.47 : 538.03 = 538.03 : x
  2. Step 2: Convert to fraction form
    357.47/538.03 = 538.03/x
  3. Step 3: Cross multiply
    357.47x = 538.03 × 538.03
  4. Step 4: Simplify right side
    357.47x = 289,477.63
  5. Step 5: Solve for x
    x = 289,477.63/357.47
  6. Step 6: Final answer
    x = 809.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.