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Finding the Third Proportional to 130,620 and 266,772

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Solution

The third proportional to 130,620 and 266,772 is: 544,842.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,620 : 266,772 = 266,772 : x
  2. Step 2: Convert to fraction form
    130,620/266,772 = 266,772/x
  3. Step 3: Cross multiply
    130,620x = 266,772 × 266,772
  4. Step 4: Simplify right side
    130,620x = 71,167,299,984
  5. Step 5: Solve for x
    x = 71,167,299,984/130,620
  6. Step 6: Final answer
    x = 544,842.29

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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.