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Finding the Third Proportional to 77,610 and 139,803.75

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Solution

The third proportional to 77,610 and 139,803.75 is: 251,837.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,610 : 139,803.75 = 139,803.75 : x
  2. Step 2: Convert to fraction form
    77,610/139,803.75 = 139,803.75/x
  3. Step 3: Cross multiply
    77,610x = 139,803.75 × 139,803.75
  4. Step 4: Simplify right side
    77,610x = 19,545,088,514.06
  5. Step 5: Solve for x
    x = 19,545,088,514.06/77,610
  6. Step 6: Final answer
    x = 251,837.24

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.