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Finding the Third Proportional to 420,345 and 634,878

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Solution

The third proportional to 420,345 and 634,878 is: 958,902.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,345 : 634,878 = 634,878 : x
  2. Step 2: Convert to fraction form
    420,345/634,878 = 634,878/x
  3. Step 3: Cross multiply
    420,345x = 634,878 × 634,878
  4. Step 4: Simplify right side
    420,345x = 403,070,074,884
  5. Step 5: Solve for x
    x = 403,070,074,884/420,345
  6. Step 6: Final answer
    x = 958,902.98

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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.