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Finding the Third Proportional to 260,973 and 556,128

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Solution

The third proportional to 260,973 and 556,128 is: 1,185,097.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,973 : 556,128 = 556,128 : x
  2. Step 2: Convert to fraction form
    260,973/556,128 = 556,128/x
  3. Step 3: Cross multiply
    260,973x = 556,128 × 556,128
  4. Step 4: Simplify right side
    260,973x = 309,278,352,384
  5. Step 5: Solve for x
    x = 309,278,352,384/260,973
  6. Step 6: Final answer
    x = 1,185,097.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.