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Finding the Third Proportional to 677,640 and 997,684

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Solution

The third proportional to 677,640 and 997,684 is: 1,468,882.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,640 : 997,684 = 997,684 : x
  2. Step 2: Convert to fraction form
    677,640/997,684 = 997,684/x
  3. Step 3: Cross multiply
    677,640x = 997,684 × 997,684
  4. Step 4: Simplify right side
    677,640x = 995,373,363,856
  5. Step 5: Solve for x
    x = 995,373,363,856/677,640
  6. Step 6: Final answer
    x = 1,468,882.24

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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.