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Finding the Third Proportional to 356,989 and 743,570

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Solution

The third proportional to 356,989 and 743,570 is: 1,548,776.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,989 : 743,570 = 743,570 : x
  2. Step 2: Convert to fraction form
    356,989/743,570 = 743,570/x
  3. Step 3: Cross multiply
    356,989x = 743,570 × 743,570
  4. Step 4: Simplify right side
    356,989x = 552,896,344,900
  5. Step 5: Solve for x
    x = 552,896,344,900/356,989
  6. Step 6: Final answer
    x = 1,548,776.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.