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Finding the Third Proportional to 358,740 and 787,455

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Solution

The third proportional to 358,740 and 787,455 is: 1,728,509.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,740 : 787,455 = 787,455 : x
  2. Step 2: Convert to fraction form
    358,740/787,455 = 787,455/x
  3. Step 3: Cross multiply
    358,740x = 787,455 × 787,455
  4. Step 4: Simplify right side
    358,740x = 620,085,377,025
  5. Step 5: Solve for x
    x = 620,085,377,025/358,740
  6. Step 6: Final answer
    x = 1,728,509.16

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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.