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Finding the Third Proportional to 199,802.25 and 418,070.25

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Solution

The third proportional to 199,802.25 and 418,070.25 is: 874,778.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,802.25 : 418,070.25 = 418,070.25 : x
  2. Step 2: Convert to fraction form
    199,802.25/418,070.25 = 418,070.25/x
  3. Step 3: Cross multiply
    199,802.25x = 418,070.25 × 418,070.25
  4. Step 4: Simplify right side
    199,802.25x = 174,782,733,935.06
  5. Step 5: Solve for x
    x = 174,782,733,935.06/199,802.25
  6. Step 6: Final answer
    x = 874,778.61

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.