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Finding the Third Proportional to 98,742 and 140,724

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Solution

The third proportional to 98,742 and 140,724 is: 200,555.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,742 : 140,724 = 140,724 : x
  2. Step 2: Convert to fraction form
    98,742/140,724 = 140,724/x
  3. Step 3: Cross multiply
    98,742x = 140,724 × 140,724
  4. Step 4: Simplify right side
    98,742x = 19,803,244,176
  5. Step 5: Solve for x
    x = 19,803,244,176/98,742
  6. Step 6: Final answer
    x = 200,555.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.