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Finding the Third Proportional to 427,852 and 665,178

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Solution

The third proportional to 427,852 and 665,178 is: 1,034,146.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,852 : 665,178 = 665,178 : x
  2. Step 2: Convert to fraction form
    427,852/665,178 = 665,178/x
  3. Step 3: Cross multiply
    427,852x = 665,178 × 665,178
  4. Step 4: Simplify right side
    427,852x = 442,461,771,684
  5. Step 5: Solve for x
    x = 442,461,771,684/427,852
  6. Step 6: Final answer
    x = 1,034,146.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.