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Finding the Third Proportional to 51,368 and 78,910

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Solution

The third proportional to 51,368 and 78,910 is: 121,219.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,368 : 78,910 = 78,910 : x
  2. Step 2: Convert to fraction form
    51,368/78,910 = 78,910/x
  3. Step 3: Cross multiply
    51,368x = 78,910 × 78,910
  4. Step 4: Simplify right side
    51,368x = 6,226,788,100
  5. Step 5: Solve for x
    x = 6,226,788,100/51,368
  6. Step 6: Final answer
    x = 121,219.20

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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.