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Finding the Third Proportional to 130,640 and 272,632

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Solution

The third proportional to 130,640 and 272,632 is: 568,954.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,640 : 272,632 = 272,632 : x
  2. Step 2: Convert to fraction form
    130,640/272,632 = 272,632/x
  3. Step 3: Cross multiply
    130,640x = 272,632 × 272,632
  4. Step 4: Simplify right side
    130,640x = 74,328,207,424
  5. Step 5: Solve for x
    x = 74,328,207,424/130,640
  6. Step 6: Final answer
    x = 568,954.44

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.