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Finding the Third Proportional to 127,153.50 and 280,549.50

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Solution

The third proportional to 127,153.50 and 280,549.50 is: 619,000.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,153.50 : 280,549.50 = 280,549.50 : x
  2. Step 2: Convert to fraction form
    127,153.50/280,549.50 = 280,549.50/x
  3. Step 3: Cross multiply
    127,153.50x = 280,549.50 × 280,549.50
  4. Step 4: Simplify right side
    127,153.50x = 78,708,021,950.25
  5. Step 5: Solve for x
    x = 78,708,021,950.25/127,153.50
  6. Step 6: Final answer
    x = 619,000.04

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.