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Finding the Third Proportional to 551,010 and 851,080

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Solution

The third proportional to 551,010 and 851,080 is: 1,314,562.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,010 : 851,080 = 851,080 : x
  2. Step 2: Convert to fraction form
    551,010/851,080 = 851,080/x
  3. Step 3: Cross multiply
    551,010x = 851,080 × 851,080
  4. Step 4: Simplify right side
    551,010x = 724,337,166,400
  5. Step 5: Solve for x
    x = 724,337,166,400/551,010
  6. Step 6: Final answer
    x = 1,314,562.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.