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Finding the Third Proportional to 77,307 and 110,254.50

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Solution

The third proportional to 77,307 and 110,254.50 is: 157,243.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,307 : 110,254.50 = 110,254.50 : x
  2. Step 2: Convert to fraction form
    77,307/110,254.50 = 110,254.50/x
  3. Step 3: Cross multiply
    77,307x = 110,254.50 × 110,254.50
  4. Step 4: Simplify right side
    77,307x = 12,156,054,770.25
  5. Step 5: Solve for x
    x = 12,156,054,770.25/77,307
  6. Step 6: Final answer
    x = 157,243.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.