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Finding the Third Proportional to 472,972 and 1,050,920

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Solution

The third proportional to 472,972 and 1,050,920 is: 2,335,091.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,972 : 1,050,920 = 1,050,920 : x
  2. Step 2: Convert to fraction form
    472,972/1,050,920 = 1,050,920/x
  3. Step 3: Cross multiply
    472,972x = 1,050,920 × 1,050,920
  4. Step 4: Simplify right side
    472,972x = 1,104,432,846,400
  5. Step 5: Solve for x
    x = 1,104,432,846,400/472,972
  6. Step 6: Final answer
    x = 2,335,091.39

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.