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Finding the Third Proportional to 84,770 and 128,248

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Solution

The third proportional to 84,770 and 128,248 is: 194,025.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,770 : 128,248 = 128,248 : x
  2. Step 2: Convert to fraction form
    84,770/128,248 = 128,248/x
  3. Step 3: Cross multiply
    84,770x = 128,248 × 128,248
  4. Step 4: Simplify right side
    84,770x = 16,447,549,504
  5. Step 5: Solve for x
    x = 16,447,549,504/84,770
  6. Step 6: Final answer
    x = 194,025.59

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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.