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Finding the Third Proportional to 98,740 and 141,101

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Solution

The third proportional to 98,740 and 141,101 is: 201,635.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,740 : 141,101 = 141,101 : x
  2. Step 2: Convert to fraction form
    98,740/141,101 = 141,101/x
  3. Step 3: Cross multiply
    98,740x = 141,101 × 141,101
  4. Step 4: Simplify right side
    98,740x = 19,909,492,201
  5. Step 5: Solve for x
    x = 19,909,492,201/98,740
  6. Step 6: Final answer
    x = 201,635.53

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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.