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Finding the Third Proportional to 551,011 and 851,082

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Solution

The third proportional to 551,011 and 851,082 is: 1,314,566.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,011 : 851,082 = 851,082 : x
  2. Step 2: Convert to fraction form
    551,011/851,082 = 851,082/x
  3. Step 3: Cross multiply
    551,011x = 851,082 × 851,082
  4. Step 4: Simplify right side
    551,011x = 724,340,570,724
  5. Step 5: Solve for x
    x = 724,340,570,724/551,011
  6. Step 6: Final answer
    x = 1,314,566.44

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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.