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Finding the Third Proportional to 115,508 and 249,970

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Solution

The third proportional to 115,508 and 249,970 is: 540,958.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,508 : 249,970 = 249,970 : x
  2. Step 2: Convert to fraction form
    115,508/249,970 = 249,970/x
  3. Step 3: Cross multiply
    115,508x = 249,970 × 249,970
  4. Step 4: Simplify right side
    115,508x = 62,485,000,900
  5. Step 5: Solve for x
    x = 62,485,000,900/115,508
  6. Step 6: Final answer
    x = 540,958.21

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Why These Related Problems?

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