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Finding the Third Proportional to 59,421 and 128,130

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Solution

The third proportional to 59,421 and 128,130 is: 276,287.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,421 : 128,130 = 128,130 : x
  2. Step 2: Convert to fraction form
    59,421/128,130 = 128,130/x
  3. Step 3: Cross multiply
    59,421x = 128,130 × 128,130
  4. Step 4: Simplify right side
    59,421x = 16,417,296,900
  5. Step 5: Solve for x
    x = 16,417,296,900/59,421
  6. Step 6: Final answer
    x = 276,287.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.