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Finding the Third Proportional to 84,004.59 and 130,042.97

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Solution

The third proportional to 84,004.59 and 130,042.97 is: 201,312.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,004.59 : 130,042.97 = 130,042.97 : x
  2. Step 2: Convert to fraction form
    84,004.59/130,042.97 = 130,042.97/x
  3. Step 3: Cross multiply
    84,004.59x = 130,042.97 × 130,042.97
  4. Step 4: Simplify right side
    84,004.59x = 16,911,173,721.31
  5. Step 5: Solve for x
    x = 16,911,173,721.31/84,004.59
  6. Step 6: Final answer
    x = 201,312.49

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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.