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Finding the Third Proportional to 64,359,715,968 and 138,555,600,000

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Solution

The third proportional to 64,359,715,968 and 138,555,600,000 is: 298,286,808,799.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,359,715,968 : 138,555,600,000 = 138,555,600,000 : x
  2. Step 2: Convert to fraction form
    64,359,715,968/138,555,600,000 = 138,555,600,000/x
  3. Step 3: Cross multiply
    64,359,715,968x = 138,555,600,000 × 138,555,600,000
  4. Step 4: Simplify right side
    64,359,715,968x = 19,197,654,291,360,000,245,760
  5. Step 5: Solve for x
    x = 19,197,654,291,360,000,245,760/64,359,715,968
  6. Step 6: Final answer
    x = 298,286,808,799.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.