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Finding the Third Proportional to 58,533 and 128,217

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Solution

The third proportional to 58,533 and 128,217 is: 280,860.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,533 : 128,217 = 128,217 : x
  2. Step 2: Convert to fraction form
    58,533/128,217 = 128,217/x
  3. Step 3: Cross multiply
    58,533x = 128,217 × 128,217
  4. Step 4: Simplify right side
    58,533x = 16,439,599,089
  5. Step 5: Solve for x
    x = 16,439,599,089/58,533
  6. Step 6: Final answer
    x = 280,860.35

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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.