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Finding the Third Proportional to 257,984 and 551,280

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Solution

The third proportional to 257,984 and 551,280 is: 1,178,017.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,984 : 551,280 = 551,280 : x
  2. Step 2: Convert to fraction form
    257,984/551,280 = 551,280/x
  3. Step 3: Cross multiply
    257,984x = 551,280 × 551,280
  4. Step 4: Simplify right side
    257,984x = 303,909,638,400
  5. Step 5: Solve for x
    x = 303,909,638,400/257,984
  6. Step 6: Final answer
    x = 1,178,017.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.