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Finding the Third Proportional to 445,180 and 912,230

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Solution

The third proportional to 445,180 and 912,230 is: 1,869,274.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,180 : 912,230 = 912,230 : x
  2. Step 2: Convert to fraction form
    445,180/912,230 = 912,230/x
  3. Step 3: Cross multiply
    445,180x = 912,230 × 912,230
  4. Step 4: Simplify right side
    445,180x = 832,163,572,900
  5. Step 5: Solve for x
    x = 832,163,572,900/445,180
  6. Step 6: Final answer
    x = 1,869,274.39

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.