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Finding the Third Proportional to 77,734.13 and 164,810.25

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Solution

The third proportional to 77,734.13 and 164,810.25 is: 349,427.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,734.13 : 164,810.25 = 164,810.25 : x
  2. Step 2: Convert to fraction form
    77,734.13/164,810.25 = 164,810.25/x
  3. Step 3: Cross multiply
    77,734.13x = 164,810.25 × 164,810.25
  4. Step 4: Simplify right side
    77,734.13x = 27,162,418,505.06
  5. Step 5: Solve for x
    x = 27,162,418,505.06/77,734.13
  6. Step 6: Final answer
    x = 349,427.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.