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Finding the Third Proportional to 235,780 and 512,600

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Solution

The third proportional to 235,780 and 512,600 is: 1,114,423.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,780 : 512,600 = 512,600 : x
  2. Step 2: Convert to fraction form
    235,780/512,600 = 512,600/x
  3. Step 3: Cross multiply
    235,780x = 512,600 × 512,600
  4. Step 4: Simplify right side
    235,780x = 262,758,760,000
  5. Step 5: Solve for x
    x = 262,758,760,000/235,780
  6. Step 6: Final answer
    x = 1,114,423.45

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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.