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Finding the Third Proportional to 420,416 and 634,992

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Solution

The third proportional to 420,416 and 634,992 is: 959,085.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,416 : 634,992 = 634,992 : x
  2. Step 2: Convert to fraction form
    420,416/634,992 = 634,992/x
  3. Step 3: Cross multiply
    420,416x = 634,992 × 634,992
  4. Step 4: Simplify right side
    420,416x = 403,214,840,064
  5. Step 5: Solve for x
    x = 403,214,840,064/420,416
  6. Step 6: Final answer
    x = 959,085.38

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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.