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Finding the Third Proportional to 84,819 and 130,902

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Solution

The third proportional to 84,819 and 130,902 is: 202,022.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,819 : 130,902 = 130,902 : x
  2. Step 2: Convert to fraction form
    84,819/130,902 = 130,902/x
  3. Step 3: Cross multiply
    84,819x = 130,902 × 130,902
  4. Step 4: Simplify right side
    84,819x = 17,135,333,604
  5. Step 5: Solve for x
    x = 17,135,333,604/84,819
  6. Step 6: Final answer
    x = 202,022.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.