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Finding the Third Proportional to 621,738 and 735,282

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Solution

The third proportional to 621,738 and 735,282 is: 869,561.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,738 : 735,282 = 735,282 : x
  2. Step 2: Convert to fraction form
    621,738/735,282 = 735,282/x
  3. Step 3: Cross multiply
    621,738x = 735,282 × 735,282
  4. Step 4: Simplify right side
    621,738x = 540,639,619,524
  5. Step 5: Solve for x
    x = 540,639,619,524/621,738
  6. Step 6: Final answer
    x = 869,561.81

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.