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Finding the Third Proportional to 490,838.25 and 720,095.25

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Solution

The third proportional to 490,838.25 and 720,095.25 is: 1,056,431.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,838.25 : 720,095.25 = 720,095.25 : x
  2. Step 2: Convert to fraction form
    490,838.25/720,095.25 = 720,095.25/x
  3. Step 3: Cross multiply
    490,838.25x = 720,095.25 × 720,095.25
  4. Step 4: Simplify right side
    490,838.25x = 518,537,169,072.56
  5. Step 5: Solve for x
    x = 518,537,169,072.56/490,838.25
  6. Step 6: Final answer
    x = 1,056,431.87

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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.