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Finding the Third Proportional to 322,079,361,228 and 480,326,006,322

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Solution

The third proportional to 322,079,361,228 and 480,326,006,322 is: 716,323,677,088.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,079,361,228 : 480,326,006,322 = 480,326,006,322 : x
  2. Step 2: Convert to fraction form
    322,079,361,228/480,326,006,322 = 480,326,006,322/x
  3. Step 3: Cross multiply
    322,079,361,228x = 480,326,006,322 × 480,326,006,322
  4. Step 4: Simplify right side
    322,079,361,228x = 230,713,072,349,241,992,544,256
  5. Step 5: Solve for x
    x = 230,713,072,349,241,992,544,256/322,079,361,228
  6. Step 6: Final answer
    x = 716,323,677,088.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.