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Finding the Third Proportional to 144,202.50 and 316,485

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Solution

The third proportional to 144,202.50 and 316,485 is: 694,597.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,202.50 : 316,485 = 316,485 : x
  2. Step 2: Convert to fraction form
    144,202.50/316,485 = 316,485/x
  3. Step 3: Cross multiply
    144,202.50x = 316,485 × 316,485
  4. Step 4: Simplify right side
    144,202.50x = 100,162,755,225
  5. Step 5: Solve for x
    x = 100,162,755,225/144,202.50
  6. Step 6: Final answer
    x = 694,597.91

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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.