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Finding the Third Proportional to 58.91 and 90.53

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Solution

The third proportional to 58.91 and 90.53 is: 139.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.91 : 90.53 = 90.53 : x
  2. Step 2: Convert to fraction form
    58.91/90.53 = 90.53/x
  3. Step 3: Cross multiply
    58.91x = 90.53 × 90.53
  4. Step 4: Simplify right side
    58.91x = 8,196.00
  5. Step 5: Solve for x
    x = 8,196.00/58.91
  6. Step 6: Final answer
    x = 139.13

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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.