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Finding the Third Proportional to 279,000 and 417,402

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Solution

The third proportional to 279,000 and 417,402 is: 624,460.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,000 : 417,402 = 417,402 : x
  2. Step 2: Convert to fraction form
    279,000/417,402 = 417,402/x
  3. Step 3: Cross multiply
    279,000x = 417,402 × 417,402
  4. Step 4: Simplify right side
    279,000x = 174,224,429,604
  5. Step 5: Solve for x
    x = 174,224,429,604/279,000
  6. Step 6: Final answer
    x = 624,460.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.