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Finding the Third Proportional to 690,492 and 1,099,176

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Solution

The third proportional to 690,492 and 1,099,176 is: 1,749,749.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,492 : 1,099,176 = 1,099,176 : x
  2. Step 2: Convert to fraction form
    690,492/1,099,176 = 1,099,176/x
  3. Step 3: Cross multiply
    690,492x = 1,099,176 × 1,099,176
  4. Step 4: Simplify right side
    690,492x = 1,208,187,878,976
  5. Step 5: Solve for x
    x = 1,208,187,878,976/690,492
  6. Step 6: Final answer
    x = 1,749,749.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.