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Finding the Third Proportional to 57,564 and 128,511

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Solution

The third proportional to 57,564 and 128,511 is: 286,899.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,564 : 128,511 = 128,511 : x
  2. Step 2: Convert to fraction form
    57,564/128,511 = 128,511/x
  3. Step 3: Cross multiply
    57,564x = 128,511 × 128,511
  4. Step 4: Simplify right side
    57,564x = 16,515,077,121
  5. Step 5: Solve for x
    x = 16,515,077,121/57,564
  6. Step 6: Final answer
    x = 286,899.40

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.