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Finding the Third Proportional to 321,792 and 692,904

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Solution

The third proportional to 321,792 and 692,904 is: 1,492,007.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,792 : 692,904 = 692,904 : x
  2. Step 2: Convert to fraction form
    321,792/692,904 = 692,904/x
  3. Step 3: Cross multiply
    321,792x = 692,904 × 692,904
  4. Step 4: Simplify right side
    321,792x = 480,115,953,216
  5. Step 5: Solve for x
    x = 480,115,953,216/321,792
  6. Step 6: Final answer
    x = 1,492,007.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.