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Finding the Third Proportional to 77,310 and 110,259

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Solution

The third proportional to 77,310 and 110,259 is: 157,250.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,310 : 110,259 = 110,259 : x
  2. Step 2: Convert to fraction form
    77,310/110,259 = 110,259/x
  3. Step 3: Cross multiply
    77,310x = 110,259 × 110,259
  4. Step 4: Simplify right side
    77,310x = 12,157,047,081
  5. Step 5: Solve for x
    x = 12,157,047,081/77,310
  6. Step 6: Final answer
    x = 157,250.64

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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.