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Finding the Third Proportional to 120,929.63 and 282,390.47

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Solution

The third proportional to 120,929.63 and 282,390.47 is: 659,427.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,929.63 : 282,390.47 = 282,390.47 : x
  2. Step 2: Convert to fraction form
    120,929.63/282,390.47 = 282,390.47/x
  3. Step 3: Cross multiply
    120,929.63x = 282,390.47 × 282,390.47
  4. Step 4: Simplify right side
    120,929.63x = 79,744,376,840.84
  5. Step 5: Solve for x
    x = 79,744,376,840.84/120,929.63
  6. Step 6: Final answer
    x = 659,427.97

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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.