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Finding the Third Proportional to 98,802 and 152,841

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Solution

The third proportional to 98,802 and 152,841 is: 236,436.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,802 : 152,841 = 152,841 : x
  2. Step 2: Convert to fraction form
    98,802/152,841 = 152,841/x
  3. Step 3: Cross multiply
    98,802x = 152,841 × 152,841
  4. Step 4: Simplify right side
    98,802x = 23,360,371,281
  5. Step 5: Solve for x
    x = 23,360,371,281/98,802
  6. Step 6: Final answer
    x = 236,436.22

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.