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Finding the Third Proportional to 249,651 and 405,597

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Solution

The third proportional to 249,651 and 405,597 is: 658,955.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,651 : 405,597 = 405,597 : x
  2. Step 2: Convert to fraction form
    249,651/405,597 = 405,597/x
  3. Step 3: Cross multiply
    249,651x = 405,597 × 405,597
  4. Step 4: Simplify right side
    249,651x = 164,508,926,409
  5. Step 5: Solve for x
    x = 164,508,926,409/249,651
  6. Step 6: Final answer
    x = 658,955.61

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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.