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Finding the Third Proportional to 472,926 and 1,050,828

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Solution

The third proportional to 472,926 and 1,050,828 is: 2,334,909.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,926 : 1,050,828 = 1,050,828 : x
  2. Step 2: Convert to fraction form
    472,926/1,050,828 = 1,050,828/x
  3. Step 3: Cross multiply
    472,926x = 1,050,828 × 1,050,828
  4. Step 4: Simplify right side
    472,926x = 1,104,239,485,584
  5. Step 5: Solve for x
    x = 1,104,239,485,584/472,926
  6. Step 6: Final answer
    x = 2,334,909.66

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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.