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Finding the Third Proportional to 118,416,610,152 and 258,532,797,216

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Solution

The third proportional to 118,416,610,152 and 258,532,797,216 is: 564,441,146,816.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,416,610,152 : 258,532,797,216 = 258,532,797,216 : x
  2. Step 2: Convert to fraction form
    118,416,610,152/258,532,797,216 = 258,532,797,216/x
  3. Step 3: Cross multiply
    118,416,610,152x = 258,532,797,216 × 258,532,797,216
  4. Step 4: Simplify right side
    118,416,610,152x = 66,839,207,236,329,376,055,296
  5. Step 5: Solve for x
    x = 66,839,207,236,329,376,055,296/118,416,610,152
  6. Step 6: Final answer
    x = 564,441,146,816.60

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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.