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Finding the Third Proportional to 319,689 and 477,345

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Solution

The third proportional to 319,689 and 477,345 is: 712,749.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,689 : 477,345 = 477,345 : x
  2. Step 2: Convert to fraction form
    319,689/477,345 = 477,345/x
  3. Step 3: Cross multiply
    319,689x = 477,345 × 477,345
  4. Step 4: Simplify right side
    319,689x = 227,858,249,025
  5. Step 5: Solve for x
    x = 227,858,249,025/319,689
  6. Step 6: Final answer
    x = 712,749.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.