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Finding the Third Proportional to 98,770 and 141,140

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Solution

The third proportional to 98,770 and 141,140 is: 201,685.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,770 : 141,140 = 141,140 : x
  2. Step 2: Convert to fraction form
    98,770/141,140 = 141,140/x
  3. Step 3: Cross multiply
    98,770x = 141,140 × 141,140
  4. Step 4: Simplify right side
    98,770x = 19,920,499,600
  5. Step 5: Solve for x
    x = 19,920,499,600/98,770
  6. Step 6: Final answer
    x = 201,685.73

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