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Finding the Third Proportional to 407,510,731.69 and 635,479,840.13

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Solution

The third proportional to 407,510,731.69 and 635,479,840.13 is: 990,979,122.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,510,731.69 : 635,479,840.13 = 635,479,840.13 : x
  2. Step 2: Convert to fraction form
    407,510,731.69/635,479,840.13 = 635,479,840.13/x
  3. Step 3: Cross multiply
    407,510,731.69x = 635,479,840.13 × 635,479,840.13
  4. Step 4: Simplify right side
    407,510,731.69x = 403,834,627,205,295,552
  5. Step 5: Solve for x
    x = 403,834,627,205,295,552/407,510,731.69
  6. Step 6: Final answer
    x = 990,979,122.27

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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.