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Finding the Third Proportional to 131,947 and 287,575

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Solution

The third proportional to 131,947 and 287,575 is: 626,762.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,947 : 287,575 = 287,575 : x
  2. Step 2: Convert to fraction form
    131,947/287,575 = 287,575/x
  3. Step 3: Cross multiply
    131,947x = 287,575 × 287,575
  4. Step 4: Simplify right side
    131,947x = 82,699,380,625
  5. Step 5: Solve for x
    x = 82,699,380,625/131,947
  6. Step 6: Final answer
    x = 626,762.11

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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.