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Finding the Third Proportional to 142,401.75 and 311,403

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Solution

The third proportional to 142,401.75 and 311,403 is: 680,973.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,401.75 : 311,403 = 311,403 : x
  2. Step 2: Convert to fraction form
    142,401.75/311,403 = 311,403/x
  3. Step 3: Cross multiply
    142,401.75x = 311,403 × 311,403
  4. Step 4: Simplify right side
    142,401.75x = 96,971,828,409
  5. Step 5: Solve for x
    x = 96,971,828,409/142,401.75
  6. Step 6: Final answer
    x = 680,973.57

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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.