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Finding the Third Proportional to 380,160 and 612,288

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Solution

The third proportional to 380,160 and 612,288 is: 986,154.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,160 : 612,288 = 612,288 : x
  2. Step 2: Convert to fraction form
    380,160/612,288 = 612,288/x
  3. Step 3: Cross multiply
    380,160x = 612,288 × 612,288
  4. Step 4: Simplify right side
    380,160x = 374,896,594,944
  5. Step 5: Solve for x
    x = 374,896,594,944/380,160
  6. Step 6: Final answer
    x = 986,154.76

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.