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Finding the Third Proportional to 72,288 and 112,803

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Solution

The third proportional to 72,288 and 112,803 is: 176,025.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,288 : 112,803 = 112,803 : x
  2. Step 2: Convert to fraction form
    72,288/112,803 = 112,803/x
  3. Step 3: Cross multiply
    72,288x = 112,803 × 112,803
  4. Step 4: Simplify right side
    72,288x = 12,724,516,809
  5. Step 5: Solve for x
    x = 12,724,516,809/72,288
  6. Step 6: Final answer
    x = 176,025.30

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.