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Finding the Third Proportional to 358,752 and 787,476

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Solution

The third proportional to 358,752 and 787,476 is: 1,728,543.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,752 : 787,476 = 787,476 : x
  2. Step 2: Convert to fraction form
    358,752/787,476 = 787,476/x
  3. Step 3: Cross multiply
    358,752x = 787,476 × 787,476
  4. Step 4: Simplify right side
    358,752x = 620,118,450,576
  5. Step 5: Solve for x
    x = 620,118,450,576/358,752
  6. Step 6: Final answer
    x = 1,728,543.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.