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Finding the Third Proportional to 413,455 and 622,603

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Solution

The third proportional to 413,455 and 622,603 is: 937,549.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,455 : 622,603 = 622,603 : x
  2. Step 2: Convert to fraction form
    413,455/622,603 = 622,603/x
  3. Step 3: Cross multiply
    413,455x = 622,603 × 622,603
  4. Step 4: Simplify right side
    413,455x = 387,634,495,609
  5. Step 5: Solve for x
    x = 387,634,495,609/413,455
  6. Step 6: Final answer
    x = 937,549.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.