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Finding the Third Proportional to 129,398.63 and 281,577.38

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Solution

The third proportional to 129,398.63 and 281,577.38 is: 612,725.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,398.63 : 281,577.38 = 281,577.38 : x
  2. Step 2: Convert to fraction form
    129,398.63/281,577.38 = 281,577.38/x
  3. Step 3: Cross multiply
    129,398.63x = 281,577.38 × 281,577.38
  4. Step 4: Simplify right side
    129,398.63x = 79,285,818,111.89
  5. Step 5: Solve for x
    x = 79,285,818,111.89/129,398.63
  6. Step 6: Final answer
    x = 612,725.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.