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Finding the Third Proportional to 503,376 and 1,095,168

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Solution

The third proportional to 503,376 and 1,095,168 is: 2,382,697.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,376 : 1,095,168 = 1,095,168 : x
  2. Step 2: Convert to fraction form
    503,376/1,095,168 = 1,095,168/x
  3. Step 3: Cross multiply
    503,376x = 1,095,168 × 1,095,168
  4. Step 4: Simplify right side
    503,376x = 1,199,392,948,224
  5. Step 5: Solve for x
    x = 1,199,392,948,224/503,376
  6. Step 6: Final answer
    x = 2,382,697.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.