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Finding the Third Proportional to 127,643 and 265,790

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Solution

The third proportional to 127,643 and 265,790 is: 553,452.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,643 : 265,790 = 265,790 : x
  2. Step 2: Convert to fraction form
    127,643/265,790 = 265,790/x
  3. Step 3: Cross multiply
    127,643x = 265,790 × 265,790
  4. Step 4: Simplify right side
    127,643x = 70,644,324,100
  5. Step 5: Solve for x
    x = 70,644,324,100/127,643
  6. Step 6: Final answer
    x = 553,452.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.