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Finding the Third Proportional to 843,822 and 1,127,196

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Solution

The third proportional to 843,822 and 1,127,196 is: 1,505,733.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,822 : 1,127,196 = 1,127,196 : x
  2. Step 2: Convert to fraction form
    843,822/1,127,196 = 1,127,196/x
  3. Step 3: Cross multiply
    843,822x = 1,127,196 × 1,127,196
  4. Step 4: Simplify right side
    843,822x = 1,270,570,822,416
  5. Step 5: Solve for x
    x = 1,270,570,822,416/843,822
  6. Step 6: Final answer
    x = 1,505,733.23

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.