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Finding the Third Proportional to 130,999.78 and 280,674.28

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Solution

The third proportional to 130,999.78 and 280,674.28 is: 601,360.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,999.78 : 280,674.28 = 280,674.28 : x
  2. Step 2: Convert to fraction form
    130,999.78/280,674.28 = 280,674.28/x
  3. Step 3: Cross multiply
    130,999.78x = 280,674.28 × 280,674.28
  4. Step 4: Simplify right side
    130,999.78x = 78,778,052,155.20
  5. Step 5: Solve for x
    x = 78,778,052,155.20/130,999.78
  6. Step 6: Final answer
    x = 601,360.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.