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Finding the Third Proportional to 355,608 and 540,324

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Solution

The third proportional to 355,608 and 540,324 is: 820,988.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,608 : 540,324 = 540,324 : x
  2. Step 2: Convert to fraction form
    355,608/540,324 = 540,324/x
  3. Step 3: Cross multiply
    355,608x = 540,324 × 540,324
  4. Step 4: Simplify right side
    355,608x = 291,950,024,976
  5. Step 5: Solve for x
    x = 291,950,024,976/355,608
  6. Step 6: Final answer
    x = 820,988.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.