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Finding the Third Proportional to 51,120 and 78,298

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Solution

The third proportional to 51,120 and 78,298 is: 119,925.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,120 : 78,298 = 78,298 : x
  2. Step 2: Convert to fraction form
    51,120/78,298 = 78,298/x
  3. Step 3: Cross multiply
    51,120x = 78,298 × 78,298
  4. Step 4: Simplify right side
    51,120x = 6,130,576,804
  5. Step 5: Solve for x
    x = 6,130,576,804/51,120
  6. Step 6: Final answer
    x = 119,925.21

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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.