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Finding the Third Proportional to 316,519,218 and 478,086,318

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Solution

The third proportional to 316,519,218 and 478,086,318 is: 722,125,275.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,519,218 : 478,086,318 = 478,086,318 : x
  2. Step 2: Convert to fraction form
    316,519,218/478,086,318 = 478,086,318/x
  3. Step 3: Cross multiply
    316,519,218x = 478,086,318 × 478,086,318
  4. Step 4: Simplify right side
    316,519,218x = 228,566,527,458,797,120
  5. Step 5: Solve for x
    x = 228,566,527,458,797,120/316,519,218
  6. Step 6: Final answer
    x = 722,125,275.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.