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Finding the Third Proportional to 647,540 and 971,311

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Solution

The third proportional to 647,540 and 971,311 is: 1,456,968.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,540 : 971,311 = 971,311 : x
  2. Step 2: Convert to fraction form
    647,540/971,311 = 971,311/x
  3. Step 3: Cross multiply
    647,540x = 971,311 × 971,311
  4. Step 4: Simplify right side
    647,540x = 943,445,058,721
  5. Step 5: Solve for x
    x = 943,445,058,721/647,540
  6. Step 6: Final answer
    x = 1,456,968.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.