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Finding the Third Proportional to 209,071.13 and 298,009.13

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Solution

The third proportional to 209,071.13 and 298,009.13 is: 424,780.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,071.13 : 298,009.13 = 298,009.13 : x
  2. Step 2: Convert to fraction form
    209,071.13/298,009.13 = 298,009.13/x
  3. Step 3: Cross multiply
    209,071.13x = 298,009.13 × 298,009.13
  4. Step 4: Simplify right side
    209,071.13x = 88,809,438,583.27
  5. Step 5: Solve for x
    x = 88,809,438,583.27/209,071.13
  6. Step 6: Final answer
    x = 424,780.99

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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.