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Finding the Third Proportional to 58.61 and 90.98

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Solution

The third proportional to 58.61 and 90.98 is: 141.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.61 : 90.98 = 90.98 : x
  2. Step 2: Convert to fraction form
    58.61/90.98 = 90.98/x
  3. Step 3: Cross multiply
    58.61x = 90.98 × 90.98
  4. Step 4: Simplify right side
    58.61x = 8,278.16
  5. Step 5: Solve for x
    x = 8,278.16/58.61
  6. Step 6: Final answer
    x = 141.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.