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Finding the Third Proportional to 130,006 and 279,415

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Solution

The third proportional to 130,006 and 279,415 is: 600,531.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,006 : 279,415 = 279,415 : x
  2. Step 2: Convert to fraction form
    130,006/279,415 = 279,415/x
  3. Step 3: Cross multiply
    130,006x = 279,415 × 279,415
  4. Step 4: Simplify right side
    130,006x = 78,072,742,225
  5. Step 5: Solve for x
    x = 78,072,742,225/130,006
  6. Step 6: Final answer
    x = 600,531.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.