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Finding the Third Proportional to 84,411 and 197,203.50

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Solution

The third proportional to 84,411 and 197,203.50 is: 460,712.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,411 : 197,203.50 = 197,203.50 : x
  2. Step 2: Convert to fraction form
    84,411/197,203.50 = 197,203.50/x
  3. Step 3: Cross multiply
    84,411x = 197,203.50 × 197,203.50
  4. Step 4: Simplify right side
    84,411x = 38,889,220,412.25
  5. Step 5: Solve for x
    x = 38,889,220,412.25/84,411
  6. Step 6: Final answer
    x = 460,712.71

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.