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Finding the Third Proportional to 412,920 and 904,572

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Solution

The third proportional to 412,920 and 904,572 is: 1,981,619.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,920 : 904,572 = 904,572 : x
  2. Step 2: Convert to fraction form
    412,920/904,572 = 904,572/x
  3. Step 3: Cross multiply
    412,920x = 904,572 × 904,572
  4. Step 4: Simplify right side
    412,920x = 818,250,503,184
  5. Step 5: Solve for x
    x = 818,250,503,184/412,920
  6. Step 6: Final answer
    x = 1,981,619.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.