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Finding the Third Proportional to 58,624 and 128,400

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Solution

The third proportional to 58,624 and 128,400 is: 281,225.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,624 : 128,400 = 128,400 : x
  2. Step 2: Convert to fraction form
    58,624/128,400 = 128,400/x
  3. Step 3: Cross multiply
    58,624x = 128,400 × 128,400
  4. Step 4: Simplify right side
    58,624x = 16,486,560,000
  5. Step 5: Solve for x
    x = 16,486,560,000/58,624
  6. Step 6: Final answer
    x = 281,225.44

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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.