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Finding the Third Proportional to 551,047 and 851,124

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Solution

The third proportional to 551,047 and 851,124 is: 1,314,610.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,047 : 851,124 = 851,124 : x
  2. Step 2: Convert to fraction form
    551,047/851,124 = 851,124/x
  3. Step 3: Cross multiply
    551,047x = 851,124 × 851,124
  4. Step 4: Simplify right side
    551,047x = 724,412,063,376
  5. Step 5: Solve for x
    x = 724,412,063,376/551,047
  6. Step 6: Final answer
    x = 1,314,610.30

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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.