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Finding the Third Proportional to 130,004 and 279,411

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Solution

The third proportional to 130,004 and 279,411 is: 600,523.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,004 : 279,411 = 279,411 : x
  2. Step 2: Convert to fraction form
    130,004/279,411 = 279,411/x
  3. Step 3: Cross multiply
    130,004x = 279,411 × 279,411
  4. Step 4: Simplify right side
    130,004x = 78,070,506,921
  5. Step 5: Solve for x
    x = 78,070,506,921/130,004
  6. Step 6: Final answer
    x = 600,523.88

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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.