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Finding the Third Proportional to 261,715 and 512,495

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Solution

The third proportional to 261,715 and 512,495 is: 1,003,576.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,715 : 512,495 = 512,495 : x
  2. Step 2: Convert to fraction form
    261,715/512,495 = 512,495/x
  3. Step 3: Cross multiply
    261,715x = 512,495 × 512,495
  4. Step 4: Simplify right side
    261,715x = 262,651,125,025
  5. Step 5: Solve for x
    x = 262,651,125,025/261,715
  6. Step 6: Final answer
    x = 1,003,576.89

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.