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Finding the Third Proportional to 427,120 and 655,152

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Solution

The third proportional to 427,120 and 655,152 is: 1,004,926.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,120 : 655,152 = 655,152 : x
  2. Step 2: Convert to fraction form
    427,120/655,152 = 655,152/x
  3. Step 3: Cross multiply
    427,120x = 655,152 × 655,152
  4. Step 4: Simplify right side
    427,120x = 429,224,143,104
  5. Step 5: Solve for x
    x = 429,224,143,104/427,120
  6. Step 6: Final answer
    x = 1,004,926.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.