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Finding the Third Proportional to 165,863 and 249,989

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Solution

The third proportional to 165,863 and 249,989 is: 376,783.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,863 : 249,989 = 249,989 : x
  2. Step 2: Convert to fraction form
    165,863/249,989 = 249,989/x
  3. Step 3: Cross multiply
    165,863x = 249,989 × 249,989
  4. Step 4: Simplify right side
    165,863x = 62,494,500,121
  5. Step 5: Solve for x
    x = 62,494,500,121/165,863
  6. Step 6: Final answer
    x = 376,783.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.