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Finding the Third Proportional to 131,445 and 287,765

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Solution

The third proportional to 131,445 and 287,765 is: 629,987.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,445 : 287,765 = 287,765 : x
  2. Step 2: Convert to fraction form
    131,445/287,765 = 287,765/x
  3. Step 3: Cross multiply
    131,445x = 287,765 × 287,765
  4. Step 4: Simplify right side
    131,445x = 82,808,695,225
  5. Step 5: Solve for x
    x = 82,808,695,225/131,445
  6. Step 6: Final answer
    x = 629,987.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.