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Finding the Third Proportional to 58,911 and 128,817

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Solution

The third proportional to 58,911 and 128,817 is: 281,676.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,911 : 128,817 = 128,817 : x
  2. Step 2: Convert to fraction form
    58,911/128,817 = 128,817/x
  3. Step 3: Cross multiply
    58,911x = 128,817 × 128,817
  4. Step 4: Simplify right side
    58,911x = 16,593,819,489
  5. Step 5: Solve for x
    x = 16,593,819,489/58,911
  6. Step 6: Final answer
    x = 281,676.08

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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.