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Finding the Third Proportional to 249,978 and 539,930

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Solution

The third proportional to 249,978 and 539,930 is: 1,166,200.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,978 : 539,930 = 539,930 : x
  2. Step 2: Convert to fraction form
    249,978/539,930 = 539,930/x
  3. Step 3: Cross multiply
    249,978x = 539,930 × 539,930
  4. Step 4: Simplify right side
    249,978x = 291,524,404,900
  5. Step 5: Solve for x
    x = 291,524,404,900/249,978
  6. Step 6: Final answer
    x = 1,166,200.25

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.