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Finding the Third Proportional to 310,797 and 438,690

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Solution

The third proportional to 310,797 and 438,690 is: 619,210.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,797 : 438,690 = 438,690 : x
  2. Step 2: Convert to fraction form
    310,797/438,690 = 438,690/x
  3. Step 3: Cross multiply
    310,797x = 438,690 × 438,690
  4. Step 4: Simplify right side
    310,797x = 192,448,916,100
  5. Step 5: Solve for x
    x = 192,448,916,100/310,797
  6. Step 6: Final answer
    x = 619,210.98

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.