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Finding the Third Proportional to 445,294 and 906,140

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Solution

The third proportional to 445,294 and 906,140 is: 1,843,927.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,294 : 906,140 = 906,140 : x
  2. Step 2: Convert to fraction form
    445,294/906,140 = 906,140/x
  3. Step 3: Cross multiply
    445,294x = 906,140 × 906,140
  4. Step 4: Simplify right side
    445,294x = 821,089,699,600
  5. Step 5: Solve for x
    x = 821,089,699,600/445,294
  6. Step 6: Final answer
    x = 1,843,927.16

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.