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Finding the Third Proportional to 437,906 and 658,803

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Solution

The third proportional to 437,906 and 658,803 is: 991,129.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,906 : 658,803 = 658,803 : x
  2. Step 2: Convert to fraction form
    437,906/658,803 = 658,803/x
  3. Step 3: Cross multiply
    437,906x = 658,803 × 658,803
  4. Step 4: Simplify right side
    437,906x = 434,021,392,809
  5. Step 5: Solve for x
    x = 434,021,392,809/437,906
  6. Step 6: Final answer
    x = 991,129.13

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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.