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Finding the Third Proportional to 58,794 and 128,640

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Solution

The third proportional to 58,794 and 128,640 is: 281,461.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,794 : 128,640 = 128,640 : x
  2. Step 2: Convert to fraction form
    58,794/128,640 = 128,640/x
  3. Step 3: Cross multiply
    58,794x = 128,640 × 128,640
  4. Step 4: Simplify right side
    58,794x = 16,548,249,600
  5. Step 5: Solve for x
    x = 16,548,249,600/58,794
  6. Step 6: Final answer
    x = 281,461.54

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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.