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Finding the Third Proportional to 57,240 and 76,428

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Solution

The third proportional to 57,240 and 76,428 is: 102,048.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,240 : 76,428 = 76,428 : x
  2. Step 2: Convert to fraction form
    57,240/76,428 = 76,428/x
  3. Step 3: Cross multiply
    57,240x = 76,428 × 76,428
  4. Step 4: Simplify right side
    57,240x = 5,841,239,184
  5. Step 5: Solve for x
    x = 5,841,239,184/57,240
  6. Step 6: Final answer
    x = 102,048.20

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.