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Finding the Third Proportional to 50,510.25 and 77,303.25

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Solution

The third proportional to 50,510.25 and 77,303.25 is: 118,308.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,510.25 : 77,303.25 = 77,303.25 : x
  2. Step 2: Convert to fraction form
    50,510.25/77,303.25 = 77,303.25/x
  3. Step 3: Cross multiply
    50,510.25x = 77,303.25 × 77,303.25
  4. Step 4: Simplify right side
    50,510.25x = 5,975,792,460.56
  5. Step 5: Solve for x
    x = 5,975,792,460.56/50,510.25
  6. Step 6: Final answer
    x = 118,308.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.