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Finding the Third Proportional to 249,518 and 405,421

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Solution

The third proportional to 249,518 and 405,421 is: 658,734.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,518 : 405,421 = 405,421 : x
  2. Step 2: Convert to fraction form
    249,518/405,421 = 405,421/x
  3. Step 3: Cross multiply
    249,518x = 405,421 × 405,421
  4. Step 4: Simplify right side
    249,518x = 164,366,187,241
  5. Step 5: Solve for x
    x = 164,366,187,241/249,518
  6. Step 6: Final answer
    x = 658,734.79

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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.