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Finding the Third Proportional to 506,109 and 764,391

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Solution

The third proportional to 506,109 and 764,391 is: 1,154,481.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,109 : 764,391 = 764,391 : x
  2. Step 2: Convert to fraction form
    506,109/764,391 = 764,391/x
  3. Step 3: Cross multiply
    506,109x = 764,391 × 764,391
  4. Step 4: Simplify right side
    506,109x = 584,293,600,881
  5. Step 5: Solve for x
    x = 584,293,600,881/506,109
  6. Step 6: Final answer
    x = 1,154,481.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.