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Finding the Third Proportional to 58.94 and 90.63

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Solution

The third proportional to 58.94 and 90.63 is: 139.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.94 : 90.63 = 90.63 : x
  2. Step 2: Convert to fraction form
    58.94/90.63 = 90.63/x
  3. Step 3: Cross multiply
    58.94x = 90.63 × 90.63
  4. Step 4: Simplify right side
    58.94x = 8,212.89
  5. Step 5: Solve for x
    x = 8,212.89/58.94
  6. Step 6: Final answer
    x = 139.35

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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.