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Finding the Third Proportional to 385.15 and 594.45

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Solution

The third proportional to 385.15 and 594.45 is: 917.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.15 : 594.45 = 594.45 : x
  2. Step 2: Convert to fraction form
    385.15/594.45 = 594.45/x
  3. Step 3: Cross multiply
    385.15x = 594.45 × 594.45
  4. Step 4: Simplify right side
    385.15x = 353,368.71
  5. Step 5: Solve for x
    x = 353,368.71/385.15
  6. Step 6: Final answer
    x = 917.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.