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Finding the Third Proportional to 407,510,367.19 and 635,479,354.13

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Solution

The third proportional to 407,510,367.19 and 635,479,354.13 is: 990,978,492.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,510,367.19 : 635,479,354.13 = 635,479,354.13 : x
  2. Step 2: Convert to fraction form
    407,510,367.19/635,479,354.13 = 635,479,354.13/x
  3. Step 3: Cross multiply
    407,510,367.19x = 635,479,354.13 × 635,479,354.13
  4. Step 4: Simplify right side
    407,510,367.19x = 403,834,009,519,127,168
  5. Step 5: Solve for x
    x = 403,834,009,519,127,168/407,510,367.19
  6. Step 6: Final answer
    x = 990,978,492.91

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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.