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Finding the Third Proportional to 411,903 and 616,360

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Solution

The third proportional to 411,903 and 616,360 is: 922,303.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,903 : 616,360 = 616,360 : x
  2. Step 2: Convert to fraction form
    411,903/616,360 = 616,360/x
  3. Step 3: Cross multiply
    411,903x = 616,360 × 616,360
  4. Step 4: Simplify right side
    411,903x = 379,899,649,600
  5. Step 5: Solve for x
    x = 379,899,649,600/411,903
  6. Step 6: Final answer
    x = 922,303.67

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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.