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Finding the Third Proportional to 249,742 and 382,947

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Solution

The third proportional to 249,742 and 382,947 is: 587,199.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,742 : 382,947 = 382,947 : x
  2. Step 2: Convert to fraction form
    249,742/382,947 = 382,947/x
  3. Step 3: Cross multiply
    249,742x = 382,947 × 382,947
  4. Step 4: Simplify right side
    249,742x = 146,648,404,809
  5. Step 5: Solve for x
    x = 146,648,404,809/249,742
  6. Step 6: Final answer
    x = 587,199.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.