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Finding the Third Proportional to 129,440 and 265,148

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Solution

The third proportional to 129,440 and 265,148 is: 543,135.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,440 : 265,148 = 265,148 : x
  2. Step 2: Convert to fraction form
    129,440/265,148 = 265,148/x
  3. Step 3: Cross multiply
    129,440x = 265,148 × 265,148
  4. Step 4: Simplify right side
    129,440x = 70,303,461,904
  5. Step 5: Solve for x
    x = 70,303,461,904/129,440
  6. Step 6: Final answer
    x = 543,135.52

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.