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Finding the Third Proportional to 249,954 and 539,830

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Solution

The third proportional to 249,954 and 539,830 is: 1,165,880.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,954 : 539,830 = 539,830 : x
  2. Step 2: Convert to fraction form
    249,954/539,830 = 539,830/x
  3. Step 3: Cross multiply
    249,954x = 539,830 × 539,830
  4. Step 4: Simplify right side
    249,954x = 291,416,428,900
  5. Step 5: Solve for x
    x = 291,416,428,900/249,954
  6. Step 6: Final answer
    x = 1,165,880.24

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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.