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Finding the Third Proportional to 157,310 and 340,858

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Solution

The third proportional to 157,310 and 340,858 is: 738,568.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,310 : 340,858 = 340,858 : x
  2. Step 2: Convert to fraction form
    157,310/340,858 = 340,858/x
  3. Step 3: Cross multiply
    157,310x = 340,858 × 340,858
  4. Step 4: Simplify right side
    157,310x = 116,184,176,164
  5. Step 5: Solve for x
    x = 116,184,176,164/157,310
  6. Step 6: Final answer
    x = 738,568.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.