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Finding the Third Proportional to 58.61 and 130.70

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Solution

The third proportional to 58.61 and 130.70 is: 291.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.61 : 130.70 = 130.70 : x
  2. Step 2: Convert to fraction form
    58.61/130.70 = 130.70/x
  3. Step 3: Cross multiply
    58.61x = 130.70 × 130.70
  4. Step 4: Simplify right side
    58.61x = 17,083.31
  5. Step 5: Solve for x
    x = 17,083.31/58.61
  6. Step 6: Final answer
    x = 291.48

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.