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Finding the Third Proportional to 643,714,314.75 and 1,390,336,254

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Solution

The third proportional to 643,714,314.75 and 1,390,336,254 is: 3,002,939,122.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,714,314.75 : 1,390,336,254 = 1,390,336,254 : x
  2. Step 2: Convert to fraction form
    643,714,314.75/1,390,336,254 = 1,390,336,254/x
  3. Step 3: Cross multiply
    643,714,314.75x = 1,390,336,254 × 1,390,336,254
  4. Step 4: Simplify right side
    643,714,314.75x = 1,933,034,899,186,752,512
  5. Step 5: Solve for x
    x = 1,933,034,899,186,752,512/643,714,314.75
  6. Step 6: Final answer
    x = 3,002,939,122.05

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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.