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Finding the Third Proportional to 130,009 and 254,510

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Solution

The third proportional to 130,009 and 254,510 is: 498,237.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,009 : 254,510 = 254,510 : x
  2. Step 2: Convert to fraction form
    130,009/254,510 = 254,510/x
  3. Step 3: Cross multiply
    130,009x = 254,510 × 254,510
  4. Step 4: Simplify right side
    130,009x = 64,775,340,100
  5. Step 5: Solve for x
    x = 64,775,340,100/130,009
  6. Step 6: Final answer
    x = 498,237.35

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.