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Finding the Third Proportional to 249,977 and 387,116

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Solution

The third proportional to 249,977 and 387,116 is: 599,490.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,977 : 387,116 = 387,116 : x
  2. Step 2: Convert to fraction form
    249,977/387,116 = 387,116/x
  3. Step 3: Cross multiply
    249,977x = 387,116 × 387,116
  4. Step 4: Simplify right side
    249,977x = 149,858,797,456
  5. Step 5: Solve for x
    x = 149,858,797,456/249,977
  6. Step 6: Final answer
    x = 599,490.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.