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Finding the Third Proportional to 503,364 and 1,106,196

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Solution

The third proportional to 503,364 and 1,106,196 is: 2,430,983.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,364 : 1,106,196 = 1,106,196 : x
  2. Step 2: Convert to fraction form
    503,364/1,106,196 = 1,106,196/x
  3. Step 3: Cross multiply
    503,364x = 1,106,196 × 1,106,196
  4. Step 4: Simplify right side
    503,364x = 1,223,669,590,416
  5. Step 5: Solve for x
    x = 1,223,669,590,416/503,364
  6. Step 6: Final answer
    x = 2,430,983.52

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.