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Finding the Third Proportional to 249,522 and 405,427

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Solution

The third proportional to 249,522 and 405,427 is: 658,743.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,522 : 405,427 = 405,427 : x
  2. Step 2: Convert to fraction form
    249,522/405,427 = 405,427/x
  3. Step 3: Cross multiply
    249,522x = 405,427 × 405,427
  4. Step 4: Simplify right side
    249,522x = 164,371,052,329
  5. Step 5: Solve for x
    x = 164,371,052,329/249,522
  6. Step 6: Final answer
    x = 658,743.73

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.