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Finding the Third Proportional to 77,145.75 and 116,542.13

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Solution

The third proportional to 77,145.75 and 116,542.13 is: 176,057.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,145.75 : 116,542.13 = 116,542.13 : x
  2. Step 2: Convert to fraction form
    77,145.75/116,542.13 = 116,542.13/x
  3. Step 3: Cross multiply
    77,145.75x = 116,542.13 × 116,542.13
  4. Step 4: Simplify right side
    77,145.75x = 13,582,066,899.52
  5. Step 5: Solve for x
    x = 13,582,066,899.52/77,145.75
  6. Step 6: Final answer
    x = 176,057.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.