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Finding the Third Proportional to 63,976,086 and 138,146,319

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Solution

The third proportional to 63,976,086 and 138,146,319 is: 298,305,298.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,976,086 : 138,146,319 = 138,146,319 : x
  2. Step 2: Convert to fraction form
    63,976,086/138,146,319 = 138,146,319/x
  3. Step 3: Cross multiply
    63,976,086x = 138,146,319 × 138,146,319
  4. Step 4: Simplify right side
    63,976,086x = 19,084,405,453,249,760
  5. Step 5: Solve for x
    x = 19,084,405,453,249,760/63,976,086
  6. Step 6: Final answer
    x = 298,305,298.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.