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Finding the Third Proportional to 407,510,331.75 and 635,479,278.19

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Solution

The third proportional to 407,510,331.75 and 635,479,278.19 is: 990,978,342.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,510,331.75 : 635,479,278.19 = 635,479,278.19 : x
  2. Step 2: Convert to fraction form
    407,510,331.75/635,479,278.19 = 635,479,278.19/x
  3. Step 3: Cross multiply
    407,510,331.75x = 635,479,278.19 × 635,479,278.19
  4. Step 4: Simplify right side
    407,510,331.75x = 403,833,913,005,705,984
  5. Step 5: Solve for x
    x = 403,833,913,005,705,984/407,510,331.75
  6. Step 6: Final answer
    x = 990,978,342.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.