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Finding the Third Proportional to 84,397.78 and 130,640.34

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Solution

The third proportional to 84,397.78 and 130,640.34 is: 202,219.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,397.78 : 130,640.34 = 130,640.34 : x
  2. Step 2: Convert to fraction form
    84,397.78/130,640.34 = 130,640.34/x
  3. Step 3: Cross multiply
    84,397.78x = 130,640.34 × 130,640.34
  4. Step 4: Simplify right side
    84,397.78x = 17,066,899,415.12
  5. Step 5: Solve for x
    x = 17,066,899,415.12/84,397.78
  6. Step 6: Final answer
    x = 202,219.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.