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Finding the Third Proportional to 98,578 and 154,440

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Solution

The third proportional to 98,578 and 154,440 is: 241,957.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,578 : 154,440 = 154,440 : x
  2. Step 2: Convert to fraction form
    98,578/154,440 = 154,440/x
  3. Step 3: Cross multiply
    98,578x = 154,440 × 154,440
  4. Step 4: Simplify right side
    98,578x = 23,851,713,600
  5. Step 5: Solve for x
    x = 23,851,713,600/98,578
  6. Step 6: Final answer
    x = 241,957.78

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.