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Finding the Third Proportional to 249,328 and 340,636

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Solution

The third proportional to 249,328 and 340,636 is: 465,382.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,328 : 340,636 = 340,636 : x
  2. Step 2: Convert to fraction form
    249,328/340,636 = 340,636/x
  3. Step 3: Cross multiply
    249,328x = 340,636 × 340,636
  4. Step 4: Simplify right side
    249,328x = 116,032,884,496
  5. Step 5: Solve for x
    x = 116,032,884,496/249,328
  6. Step 6: Final answer
    x = 465,382.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.