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Finding the Third Proportional to 117,831 and 249,311

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Solution

The third proportional to 117,831 and 249,311 is: 527,501.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,831 : 249,311 = 249,311 : x
  2. Step 2: Convert to fraction form
    117,831/249,311 = 249,311/x
  3. Step 3: Cross multiply
    117,831x = 249,311 × 249,311
  4. Step 4: Simplify right side
    117,831x = 62,155,974,721
  5. Step 5: Solve for x
    x = 62,155,974,721/117,831
  6. Step 6: Final answer
    x = 527,501.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.