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Finding the Third Proportional to 508,597 and 622,321

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Solution

The third proportional to 508,597 and 622,321 is: 761,474.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,597 : 622,321 = 622,321 : x
  2. Step 2: Convert to fraction form
    508,597/622,321 = 622,321/x
  3. Step 3: Cross multiply
    508,597x = 622,321 × 622,321
  4. Step 4: Simplify right side
    508,597x = 387,283,427,041
  5. Step 5: Solve for x
    x = 387,283,427,041/508,597
  6. Step 6: Final answer
    x = 761,474.07

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.