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Finding the Third Proportional to 427,895 and 576,318

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Solution

The third proportional to 427,895 and 576,318 is: 776,224.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,895 : 576,318 = 576,318 : x
  2. Step 2: Convert to fraction form
    427,895/576,318 = 576,318/x
  3. Step 3: Cross multiply
    427,895x = 576,318 × 576,318
  4. Step 4: Simplify right side
    427,895x = 332,142,437,124
  5. Step 5: Solve for x
    x = 332,142,437,124/427,895
  6. Step 6: Final answer
    x = 776,224.16

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.