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Finding the Third Proportional to 59,712 and 90,240

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Solution

The third proportional to 59,712 and 90,240 is: 136,375.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,712 : 90,240 = 90,240 : x
  2. Step 2: Convert to fraction form
    59,712/90,240 = 90,240/x
  3. Step 3: Cross multiply
    59,712x = 90,240 × 90,240
  4. Step 4: Simplify right side
    59,712x = 8,143,257,600
  5. Step 5: Solve for x
    x = 8,143,257,600/59,712
  6. Step 6: Final answer
    x = 136,375.56

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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.