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Finding the Third Proportional to 380,944 and 819,216

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Solution

The third proportional to 380,944 and 819,216 is: 1,761,715.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,944 : 819,216 = 819,216 : x
  2. Step 2: Convert to fraction form
    380,944/819,216 = 819,216/x
  3. Step 3: Cross multiply
    380,944x = 819,216 × 819,216
  4. Step 4: Simplify right side
    380,944x = 671,114,854,656
  5. Step 5: Solve for x
    x = 671,114,854,656/380,944
  6. Step 6: Final answer
    x = 1,761,715.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.