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Finding the Third Proportional to 407,511,253.13 and 635,480,614.69

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Solution

The third proportional to 407,511,253.13 and 635,480,614.69 is: 990,980,269.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,511,253.13 : 635,480,614.69 = 635,480,614.69 : x
  2. Step 2: Convert to fraction form
    407,511,253.13/635,480,614.69 = 635,480,614.69/x
  3. Step 3: Cross multiply
    407,511,253.13x = 635,480,614.69 × 635,480,614.69
  4. Step 4: Simplify right side
    407,511,253.13x = 403,835,611,643,602,816
  5. Step 5: Solve for x
    x = 403,835,611,643,602,816/407,511,253.13
  6. Step 6: Final answer
    x = 990,980,269.98

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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.