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Finding the Third Proportional to 319,686.75 and 477,342

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Solution

The third proportional to 319,686.75 and 477,342 is: 712,745.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,686.75 : 477,342 = 477,342 : x
  2. Step 2: Convert to fraction form
    319,686.75/477,342 = 477,342/x
  3. Step 3: Cross multiply
    319,686.75x = 477,342 × 477,342
  4. Step 4: Simplify right side
    319,686.75x = 227,855,384,964
  5. Step 5: Solve for x
    x = 227,855,384,964/319,686.75
  6. Step 6: Final answer
    x = 712,745.79

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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.