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Finding the Third Proportional to 84,780 and 128,262

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Solution

The third proportional to 84,780 and 128,262 is: 194,045.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,780 : 128,262 = 128,262 : x
  2. Step 2: Convert to fraction form
    84,780/128,262 = 128,262/x
  3. Step 3: Cross multiply
    84,780x = 128,262 × 128,262
  4. Step 4: Simplify right side
    84,780x = 16,451,140,644
  5. Step 5: Solve for x
    x = 16,451,140,644/84,780
  6. Step 6: Final answer
    x = 194,045.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.