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Finding the Third Proportional to 373.04 and 538.21

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Solution

The third proportional to 373.04 and 538.21 is: 776.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.04 : 538.21 = 538.21 : x
  2. Step 2: Convert to fraction form
    373.04/538.21 = 538.21/x
  3. Step 3: Cross multiply
    373.04x = 538.21 × 538.21
  4. Step 4: Simplify right side
    373.04x = 289,666.81
  5. Step 5: Solve for x
    x = 289,666.81/373.04
  6. Step 6: Final answer
    x = 776.50

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.