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Finding the Third Proportional to 130,617 and 266,768

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Solution

The third proportional to 130,617 and 266,768 is: 544,838.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,617 : 266,768 = 266,768 : x
  2. Step 2: Convert to fraction form
    130,617/266,768 = 266,768/x
  3. Step 3: Cross multiply
    130,617x = 266,768 × 266,768
  4. Step 4: Simplify right side
    130,617x = 71,165,165,824
  5. Step 5: Solve for x
    x = 71,165,165,824/130,617
  6. Step 6: Final answer
    x = 544,838.47

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.