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Finding the Third Proportional to 120,649.50 and 249,318

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Solution

The third proportional to 120,649.50 and 249,318 is: 515,206.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,649.50 : 249,318 = 249,318 : x
  2. Step 2: Convert to fraction form
    120,649.50/249,318 = 249,318/x
  3. Step 3: Cross multiply
    120,649.50x = 249,318 × 249,318
  4. Step 4: Simplify right side
    120,649.50x = 62,159,465,124
  5. Step 5: Solve for x
    x = 62,159,465,124/120,649.50
  6. Step 6: Final answer
    x = 515,206.98

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.