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Finding the Third Proportional to 258,498 and 540,540

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Solution

The third proportional to 258,498 and 540,540 is: 1,130,312.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,498 : 540,540 = 540,540 : x
  2. Step 2: Convert to fraction form
    258,498/540,540 = 540,540/x
  3. Step 3: Cross multiply
    258,498x = 540,540 × 540,540
  4. Step 4: Simplify right side
    258,498x = 292,183,491,600
  5. Step 5: Solve for x
    x = 292,183,491,600/258,498
  6. Step 6: Final answer
    x = 1,130,312.39

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.