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Finding the Third Proportional to 58,819 and 128,213

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Solution

The third proportional to 58,819 and 128,213 is: 279,477.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,819 : 128,213 = 128,213 : x
  2. Step 2: Convert to fraction form
    58,819/128,213 = 128,213/x
  3. Step 3: Cross multiply
    58,819x = 128,213 × 128,213
  4. Step 4: Simplify right side
    58,819x = 16,438,573,369
  5. Step 5: Solve for x
    x = 16,438,573,369/58,819
  6. Step 6: Final answer
    x = 279,477.27

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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.