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Finding the Third Proportional to 130,616 and 272,536

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Solution

The third proportional to 130,616 and 272,536 is: 568,658.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,616 : 272,536 = 272,536 : x
  2. Step 2: Convert to fraction form
    130,616/272,536 = 272,536/x
  3. Step 3: Cross multiply
    130,616x = 272,536 × 272,536
  4. Step 4: Simplify right side
    130,616x = 74,275,871,296
  5. Step 5: Solve for x
    x = 74,275,871,296/130,616
  6. Step 6: Final answer
    x = 568,658.29

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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.