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Finding the Third Proportional to 520,756 and 811,580

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Solution

The third proportional to 520,756 and 811,580 is: 1,264,819.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,756 : 811,580 = 811,580 : x
  2. Step 2: Convert to fraction form
    520,756/811,580 = 811,580/x
  3. Step 3: Cross multiply
    520,756x = 811,580 × 811,580
  4. Step 4: Simplify right side
    520,756x = 658,662,096,400
  5. Step 5: Solve for x
    x = 658,662,096,400/520,756
  6. Step 6: Final answer
    x = 1,264,819.03

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.