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Finding the Third Proportional to 261,500 and 554,400

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Solution

The third proportional to 261,500 and 554,400 is: 1,175,370.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,500 : 554,400 = 554,400 : x
  2. Step 2: Convert to fraction form
    261,500/554,400 = 554,400/x
  3. Step 3: Cross multiply
    261,500x = 554,400 × 554,400
  4. Step 4: Simplify right side
    261,500x = 307,359,360,000
  5. Step 5: Solve for x
    x = 307,359,360,000/261,500
  6. Step 6: Final answer
    x = 1,175,370.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.