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Finding the Third Proportional to 157,421 and 339,718.50

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Solution

The third proportional to 157,421 and 339,718.50 is: 733,121.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,421 : 339,718.50 = 339,718.50 : x
  2. Step 2: Convert to fraction form
    157,421/339,718.50 = 339,718.50/x
  3. Step 3: Cross multiply
    157,421x = 339,718.50 × 339,718.50
  4. Step 4: Simplify right side
    157,421x = 115,408,659,242.25
  5. Step 5: Solve for x
    x = 115,408,659,242.25/157,421
  6. Step 6: Final answer
    x = 733,121.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.