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Finding the Third Proportional to 202,105.13 and 428,851.13

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Solution

The third proportional to 202,105.13 and 428,851.13 is: 909,988.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,105.13 : 428,851.13 = 428,851.13 : x
  2. Step 2: Convert to fraction form
    202,105.13/428,851.13 = 428,851.13/x
  3. Step 3: Cross multiply
    202,105.13x = 428,851.13 × 428,851.13
  4. Step 4: Simplify right side
    202,105.13x = 183,913,287,413.77
  5. Step 5: Solve for x
    x = 183,913,287,413.77/202,105.13
  6. Step 6: Final answer
    x = 909,988.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.