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Finding the Third Proportional to 249,790.50 and 338,599.50

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Solution

The third proportional to 249,790.50 and 338,599.50 is: 458,983.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,790.50 : 338,599.50 = 338,599.50 : x
  2. Step 2: Convert to fraction form
    249,790.50/338,599.50 = 338,599.50/x
  3. Step 3: Cross multiply
    249,790.50x = 338,599.50 × 338,599.50
  4. Step 4: Simplify right side
    249,790.50x = 114,649,621,400.25
  5. Step 5: Solve for x
    x = 114,649,621,400.25/249,790.50
  6. Step 6: Final answer
    x = 458,983.11

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.