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Finding the Third Proportional to 407,510,407.69 and 635,479,394.63

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Solution

The third proportional to 407,510,407.69 and 635,479,394.63 is: 990,978,520.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,510,407.69 : 635,479,394.63 = 635,479,394.63 : x
  2. Step 2: Convert to fraction form
    407,510,407.69/635,479,394.63 = 635,479,394.63/x
  3. Step 3: Cross multiply
    407,510,407.69x = 635,479,394.63 × 635,479,394.63
  4. Step 4: Simplify right side
    407,510,407.69x = 403,834,060,992,956,480
  5. Step 5: Solve for x
    x = 403,834,060,992,956,480/407,510,407.69
  6. Step 6: Final answer
    x = 990,978,520.73

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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.