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Finding the Third Proportional to 131,485.50 and 287,999.50

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Solution

The third proportional to 131,485.50 and 287,999.50 is: 630,820.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,485.50 : 287,999.50 = 287,999.50 : x
  2. Step 2: Convert to fraction form
    131,485.50/287,999.50 = 287,999.50/x
  3. Step 3: Cross multiply
    131,485.50x = 287,999.50 × 287,999.50
  4. Step 4: Simplify right side
    131,485.50x = 82,943,712,000.25
  5. Step 5: Solve for x
    x = 82,943,712,000.25/131,485.50
  6. Step 6: Final answer
    x = 630,820.22

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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.