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Finding the Third Proportional to 318,138 and 692,256

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Solution

The third proportional to 318,138 and 692,256 is: 1,506,322.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,138 : 692,256 = 692,256 : x
  2. Step 2: Convert to fraction form
    318,138/692,256 = 692,256/x
  3. Step 3: Cross multiply
    318,138x = 692,256 × 692,256
  4. Step 4: Simplify right side
    318,138x = 479,218,369,536
  5. Step 5: Solve for x
    x = 479,218,369,536/318,138
  6. Step 6: Final answer
    x = 1,506,322.32

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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.