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Finding the Third Proportional to 129,240 and 174,572

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Solution

The third proportional to 129,240 and 174,572 is: 235,804.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,240 : 174,572 = 174,572 : x
  2. Step 2: Convert to fraction form
    129,240/174,572 = 174,572/x
  3. Step 3: Cross multiply
    129,240x = 174,572 × 174,572
  4. Step 4: Simplify right side
    129,240x = 30,475,383,184
  5. Step 5: Solve for x
    x = 30,475,383,184/129,240
  6. Step 6: Final answer
    x = 235,804.57

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.