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Finding the Third Proportional to 249,756 and 397,239

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Solution

The third proportional to 249,756 and 397,239 is: 631,811.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,756 : 397,239 = 397,239 : x
  2. Step 2: Convert to fraction form
    249,756/397,239 = 397,239/x
  3. Step 3: Cross multiply
    249,756x = 397,239 × 397,239
  4. Step 4: Simplify right side
    249,756x = 157,798,823,121
  5. Step 5: Solve for x
    x = 157,798,823,121/249,756
  6. Step 6: Final answer
    x = 631,811.94

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.