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Finding the Third Proportional to 88,920 and 209,904

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Solution

The third proportional to 88,920 and 209,904 is: 495,498.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,920 : 209,904 = 209,904 : x
  2. Step 2: Convert to fraction form
    88,920/209,904 = 209,904/x
  3. Step 3: Cross multiply
    88,920x = 209,904 × 209,904
  4. Step 4: Simplify right side
    88,920x = 44,059,689,216
  5. Step 5: Solve for x
    x = 44,059,689,216/88,920
  6. Step 6: Final answer
    x = 495,498.08

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.