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Finding the Third Proportional to 118,416,610,164 and 258,532,797,240

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Solution

The third proportional to 118,416,610,164 and 258,532,797,240 is: 564,441,146,864.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,416,610,164 : 258,532,797,240 = 258,532,797,240 : x
  2. Step 2: Convert to fraction form
    118,416,610,164/258,532,797,240 = 258,532,797,240/x
  3. Step 3: Cross multiply
    118,416,610,164x = 258,532,797,240 × 258,532,797,240
  4. Step 4: Simplify right side
    118,416,610,164x = 66,839,207,248,738,954,248,192
  5. Step 5: Solve for x
    x = 66,839,207,248,738,954,248,192/118,416,610,164
  6. Step 6: Final answer
    x = 564,441,146,864.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.