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Finding the Third Proportional to 129,075.19 and 181,445.06

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Solution

The third proportional to 129,075.19 and 181,445.06 is: 255,063.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,075.19 : 181,445.06 = 181,445.06 : x
  2. Step 2: Convert to fraction form
    129,075.19/181,445.06 = 181,445.06/x
  3. Step 3: Cross multiply
    129,075.19x = 181,445.06 × 181,445.06
  4. Step 4: Simplify right side
    129,075.19x = 32,922,310,705.63
  5. Step 5: Solve for x
    x = 32,922,310,705.63/129,075.19
  6. Step 6: Final answer
    x = 255,063.05

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.