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Finding the Third Proportional to 249,456 and 551,412

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Solution

The third proportional to 249,456 and 551,412 is: 1,218,873.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,456 : 551,412 = 551,412 : x
  2. Step 2: Convert to fraction form
    249,456/551,412 = 551,412/x
  3. Step 3: Cross multiply
    249,456x = 551,412 × 551,412
  4. Step 4: Simplify right side
    249,456x = 304,055,193,744
  5. Step 5: Solve for x
    x = 304,055,193,744/249,456
  6. Step 6: Final answer
    x = 1,218,873.04

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.