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Finding the Third Proportional to 420,392 and 634,952

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Solution

The third proportional to 420,392 and 634,952 is: 959,019.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,392 : 634,952 = 634,952 : x
  2. Step 2: Convert to fraction form
    420,392/634,952 = 634,952/x
  3. Step 3: Cross multiply
    420,392x = 634,952 × 634,952
  4. Step 4: Simplify right side
    420,392x = 403,164,042,304
  5. Step 5: Solve for x
    x = 403,164,042,304/420,392
  6. Step 6: Final answer
    x = 959,019.30

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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.