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Finding the Third Proportional to 58,830 and 128,028

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Solution

The third proportional to 58,830 and 128,028 is: 278,619.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,830 : 128,028 = 128,028 : x
  2. Step 2: Convert to fraction form
    58,830/128,028 = 128,028/x
  3. Step 3: Cross multiply
    58,830x = 128,028 × 128,028
  4. Step 4: Simplify right side
    58,830x = 16,391,168,784
  5. Step 5: Solve for x
    x = 16,391,168,784/58,830
  6. Step 6: Final answer
    x = 278,619.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.