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Finding the Third Proportional to 142,390.50 and 313,203

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Solution

The third proportional to 142,390.50 and 313,203 is: 688,923.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,390.50 : 313,203 = 313,203 : x
  2. Step 2: Convert to fraction form
    142,390.50/313,203 = 313,203/x
  3. Step 3: Cross multiply
    142,390.50x = 313,203 × 313,203
  4. Step 4: Simplify right side
    142,390.50x = 98,096,119,209
  5. Step 5: Solve for x
    x = 98,096,119,209/142,390.50
  6. Step 6: Final answer
    x = 688,923.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.