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Finding the Third Proportional to 130,006 and 280,236

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Solution

The third proportional to 130,006 and 280,236 is: 604,066.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,006 : 280,236 = 280,236 : x
  2. Step 2: Convert to fraction form
    130,006/280,236 = 280,236/x
  3. Step 3: Cross multiply
    130,006x = 280,236 × 280,236
  4. Step 4: Simplify right side
    130,006x = 78,532,215,696
  5. Step 5: Solve for x
    x = 78,532,215,696/130,006
  6. Step 6: Final answer
    x = 604,066.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.