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Finding the Third Proportional to 239,546 and 521,590

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Solution

The third proportional to 239,546 and 521,590 is: 1,135,715.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,546 : 521,590 = 521,590 : x
  2. Step 2: Convert to fraction form
    239,546/521,590 = 521,590/x
  3. Step 3: Cross multiply
    239,546x = 521,590 × 521,590
  4. Step 4: Simplify right side
    239,546x = 272,056,128,100
  5. Step 5: Solve for x
    x = 272,056,128,100/239,546
  6. Step 6: Final answer
    x = 1,135,715.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.