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Finding the Third Proportional to 258,541 and 540,506

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Solution

The third proportional to 258,541 and 540,506 is: 1,129,982.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,541 : 540,506 = 540,506 : x
  2. Step 2: Convert to fraction form
    258,541/540,506 = 540,506/x
  3. Step 3: Cross multiply
    258,541x = 540,506 × 540,506
  4. Step 4: Simplify right side
    258,541x = 292,146,736,036
  5. Step 5: Solve for x
    x = 292,146,736,036/258,541
  6. Step 6: Final answer
    x = 1,129,982.23

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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.