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Finding the Third Proportional to 343,824 and 531,288

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Solution

The third proportional to 343,824 and 531,288 is: 820,963.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,824 : 531,288 = 531,288 : x
  2. Step 2: Convert to fraction form
    343,824/531,288 = 531,288/x
  3. Step 3: Cross multiply
    343,824x = 531,288 × 531,288
  4. Step 4: Simplify right side
    343,824x = 282,266,938,944
  5. Step 5: Solve for x
    x = 282,266,938,944/343,824
  6. Step 6: Final answer
    x = 820,963.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.