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Finding the Third Proportional to 420,403 and 634,979

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Solution

The third proportional to 420,403 and 634,979 is: 959,075.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,403 : 634,979 = 634,979 : x
  2. Step 2: Convert to fraction form
    420,403/634,979 = 634,979/x
  3. Step 3: Cross multiply
    420,403x = 634,979 × 634,979
  4. Step 4: Simplify right side
    420,403x = 403,198,330,441
  5. Step 5: Solve for x
    x = 403,198,330,441/420,403
  6. Step 6: Final answer
    x = 959,075.77

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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.