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Finding the Third Proportional to 315,748.13 and 494,751.80

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Solution

The third proportional to 315,748.13 and 494,751.80 is: 775,236.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,748.13 : 494,751.80 = 494,751.80 : x
  2. Step 2: Convert to fraction form
    315,748.13/494,751.80 = 494,751.80/x
  3. Step 3: Cross multiply
    315,748.13x = 494,751.80 × 494,751.80
  4. Step 4: Simplify right side
    315,748.13x = 244,779,340,511.04
  5. Step 5: Solve for x
    x = 244,779,340,511.04/315,748.13
  6. Step 6: Final answer
    x = 775,236.09

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.