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Finding the Third Proportional to 631,681,231 and 981,969,365

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Solution

The third proportional to 631,681,231 and 981,969,365 is: 1,526,503,854.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,681,231 : 981,969,365 = 981,969,365 : x
  2. Step 2: Convert to fraction form
    631,681,231/981,969,365 = 981,969,365/x
  3. Step 3: Cross multiply
    631,681,231x = 981,969,365 × 981,969,365
  4. Step 4: Simplify right side
    631,681,231x = 964,263,833,798,503,168
  5. Step 5: Solve for x
    x = 964,263,833,798,503,168/631,681,231
  6. Step 6: Final answer
    x = 1,526,503,854.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.