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Finding the Third Proportional to 84,076 and 128,577

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Solution

The third proportional to 84,076 and 128,577 is: 196,632.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,076 : 128,577 = 128,577 : x
  2. Step 2: Convert to fraction form
    84,076/128,577 = 128,577/x
  3. Step 3: Cross multiply
    84,076x = 128,577 × 128,577
  4. Step 4: Simplify right side
    84,076x = 16,532,044,929
  5. Step 5: Solve for x
    x = 16,532,044,929/84,076
  6. Step 6: Final answer
    x = 196,632.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.