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Finding the Third Proportional to 58,620 and 128,274

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Solution

The third proportional to 58,620 and 128,274 is: 280,692.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,620 : 128,274 = 128,274 : x
  2. Step 2: Convert to fraction form
    58,620/128,274 = 128,274/x
  3. Step 3: Cross multiply
    58,620x = 128,274 × 128,274
  4. Step 4: Simplify right side
    58,620x = 16,454,219,076
  5. Step 5: Solve for x
    x = 16,454,219,076/58,620
  6. Step 6: Final answer
    x = 280,692.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.