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Finding the Third Proportional to 249,972 and 539,918

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Solution

The third proportional to 249,972 and 539,918 is: 1,166,176.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,972 : 539,918 = 539,918 : x
  2. Step 2: Convert to fraction form
    249,972/539,918 = 539,918/x
  3. Step 3: Cross multiply
    249,972x = 539,918 × 539,918
  4. Step 4: Simplify right side
    249,972x = 291,511,446,724
  5. Step 5: Solve for x
    x = 291,511,446,724/249,972
  6. Step 6: Final answer
    x = 1,166,176.40

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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.