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Finding the Third Proportional to 497,319 and 764,856

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Solution

The third proportional to 497,319 and 764,856 is: 1,176,316.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,319 : 764,856 = 764,856 : x
  2. Step 2: Convert to fraction form
    497,319/764,856 = 764,856/x
  3. Step 3: Cross multiply
    497,319x = 764,856 × 764,856
  4. Step 4: Simplify right side
    497,319x = 585,004,700,736
  5. Step 5: Solve for x
    x = 585,004,700,736/497,319
  6. Step 6: Final answer
    x = 1,176,316.81

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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.