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Finding the Third Proportional to 531,912 and 1,138,540

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Solution

The third proportional to 531,912 and 1,138,540 is: 2,437,007.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,912 : 1,138,540 = 1,138,540 : x
  2. Step 2: Convert to fraction form
    531,912/1,138,540 = 1,138,540/x
  3. Step 3: Cross multiply
    531,912x = 1,138,540 × 1,138,540
  4. Step 4: Simplify right side
    531,912x = 1,296,273,331,600
  5. Step 5: Solve for x
    x = 1,296,273,331,600/531,912
  6. Step 6: Final answer
    x = 2,437,007.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.