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Finding the Third Proportional to 84,076 and 128,556

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Solution

The third proportional to 84,076 and 128,556 is: 196,567.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,076 : 128,556 = 128,556 : x
  2. Step 2: Convert to fraction form
    84,076/128,556 = 128,556/x
  3. Step 3: Cross multiply
    84,076x = 128,556 × 128,556
  4. Step 4: Simplify right side
    84,076x = 16,526,645,136
  5. Step 5: Solve for x
    x = 16,526,645,136/84,076
  6. Step 6: Final answer
    x = 196,567.93

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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.