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Finding the Third Proportional to 65,520 and 153,888

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Solution

The third proportional to 65,520 and 153,888 is: 361,439.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,520 : 153,888 = 153,888 : x
  2. Step 2: Convert to fraction form
    65,520/153,888 = 153,888/x
  3. Step 3: Cross multiply
    65,520x = 153,888 × 153,888
  4. Step 4: Simplify right side
    65,520x = 23,681,516,544
  5. Step 5: Solve for x
    x = 23,681,516,544/65,520
  6. Step 6: Final answer
    x = 361,439.51

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.