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Finding the Third Proportional to 342,358 and 513,600

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Solution

The third proportional to 342,358 and 513,600 is: 770,494.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,358 : 513,600 = 513,600 : x
  2. Step 2: Convert to fraction form
    342,358/513,600 = 513,600/x
  3. Step 3: Cross multiply
    342,358x = 513,600 × 513,600
  4. Step 4: Simplify right side
    342,358x = 263,784,960,000
  5. Step 5: Solve for x
    x = 263,784,960,000/342,358
  6. Step 6: Final answer
    x = 770,494.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.