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Finding the Third Proportional to 120,998 and 249,765

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Solution

The third proportional to 120,998 and 249,765 is: 515,566.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,998 : 249,765 = 249,765 : x
  2. Step 2: Convert to fraction form
    120,998/249,765 = 249,765/x
  3. Step 3: Cross multiply
    120,998x = 249,765 × 249,765
  4. Step 4: Simplify right side
    120,998x = 62,382,555,225
  5. Step 5: Solve for x
    x = 62,382,555,225/120,998
  6. Step 6: Final answer
    x = 515,566.83

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.