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Finding the Third Proportional to 58,612 and 128,516

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Solution

The third proportional to 58,612 and 128,516 is: 281,791.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,612 : 128,516 = 128,516 : x
  2. Step 2: Convert to fraction form
    58,612/128,516 = 128,516/x
  3. Step 3: Cross multiply
    58,612x = 128,516 × 128,516
  4. Step 4: Simplify right side
    58,612x = 16,516,362,256
  5. Step 5: Solve for x
    x = 16,516,362,256/58,612
  6. Step 6: Final answer
    x = 281,791.48

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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.