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Finding the Third Proportional to 129,355.88 and 282,758.63

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Solution

The third proportional to 129,355.88 and 282,758.63 is: 618,081.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,355.88 : 282,758.63 = 282,758.63 : x
  2. Step 2: Convert to fraction form
    129,355.88/282,758.63 = 282,758.63/x
  3. Step 3: Cross multiply
    129,355.88x = 282,758.63 × 282,758.63
  4. Step 4: Simplify right side
    129,355.88x = 79,952,440,011.89
  5. Step 5: Solve for x
    x = 79,952,440,011.89/129,355.88
  6. Step 6: Final answer
    x = 618,081.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.