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Finding the Third Proportional to 490,856.63 and 720,120.38

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Solution

The third proportional to 490,856.63 and 720,120.38 is: 1,056,466.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,856.63 : 720,120.38 = 720,120.38 : x
  2. Step 2: Convert to fraction form
    490,856.63/720,120.38 = 720,120.38/x
  3. Step 3: Cross multiply
    490,856.63x = 720,120.38 × 720,120.38
  4. Step 4: Simplify right side
    490,856.63x = 518,573,354,490.14
  5. Step 5: Solve for x
    x = 518,573,354,490.14/490,856.63
  6. Step 6: Final answer
    x = 1,056,466.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.