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Finding the Third Proportional to 223,988,893,153 and 327,479,594,263

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Solution

The third proportional to 223,988,893,153 and 327,479,594,263 is: 478,786,618,162.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,988,893,153 : 327,479,594,263 = 327,479,594,263 : x
  2. Step 2: Convert to fraction form
    223,988,893,153/327,479,594,263 = 327,479,594,263/x
  3. Step 3: Cross multiply
    223,988,893,153x = 327,479,594,263 × 327,479,594,263
  4. Step 4: Simplify right side
    223,988,893,153x = 107,242,884,658,659,107,799,040
  5. Step 5: Solve for x
    x = 107,242,884,658,659,107,799,040/223,988,893,153
  6. Step 6: Final answer
    x = 478,786,618,162.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.