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Finding the Third Proportional to 51,390 and 78,894

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Solution

The third proportional to 51,390 and 78,894 is: 121,118.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,390 : 78,894 = 78,894 : x
  2. Step 2: Convert to fraction form
    51,390/78,894 = 78,894/x
  3. Step 3: Cross multiply
    51,390x = 78,894 × 78,894
  4. Step 4: Simplify right side
    51,390x = 6,224,263,236
  5. Step 5: Solve for x
    x = 6,224,263,236/51,390
  6. Step 6: Final answer
    x = 121,118.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.