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Finding the Third Proportional to 65,880 and 98,640

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Solution

The third proportional to 65,880 and 98,640 is: 147,690.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,880 : 98,640 = 98,640 : x
  2. Step 2: Convert to fraction form
    65,880/98,640 = 98,640/x
  3. Step 3: Cross multiply
    65,880x = 98,640 × 98,640
  4. Step 4: Simplify right side
    65,880x = 9,729,849,600
  5. Step 5: Solve for x
    x = 9,729,849,600/65,880
  6. Step 6: Final answer
    x = 147,690.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.