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Finding the Third Proportional to 65,980 and 106,440

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Solution

The third proportional to 65,980 and 106,440 is: 171,710.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,980 : 106,440 = 106,440 : x
  2. Step 2: Convert to fraction form
    65,980/106,440 = 106,440/x
  3. Step 3: Cross multiply
    65,980x = 106,440 × 106,440
  4. Step 4: Simplify right side
    65,980x = 11,329,473,600
  5. Step 5: Solve for x
    x = 11,329,473,600/65,980
  6. Step 6: Final answer
    x = 171,710.72

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.