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Finding the Third Proportional to 59,521 and 128,153

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Solution

The third proportional to 59,521 and 128,153 is: 275,922.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,521 : 128,153 = 128,153 : x
  2. Step 2: Convert to fraction form
    59,521/128,153 = 128,153/x
  3. Step 3: Cross multiply
    59,521x = 128,153 × 128,153
  4. Step 4: Simplify right side
    59,521x = 16,423,191,409
  5. Step 5: Solve for x
    x = 16,423,191,409/59,521
  6. Step 6: Final answer
    x = 275,922.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.