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Finding the Third Proportional to 643,714,330 and 1,390,336,285

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Solution

The third proportional to 643,714,330 and 1,390,336,285 is: 3,002,939,184.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,714,330 : 1,390,336,285 = 1,390,336,285 : x
  2. Step 2: Convert to fraction form
    643,714,330/1,390,336,285 = 1,390,336,285/x
  3. Step 3: Cross multiply
    643,714,330x = 1,390,336,285 × 1,390,336,285
  4. Step 4: Simplify right side
    643,714,330x = 1,933,034,985,387,601,152
  5. Step 5: Solve for x
    x = 1,933,034,985,387,601,152/643,714,330
  6. Step 6: Final answer
    x = 3,002,939,184.82

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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.