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Finding the Third Proportional to 643,714,533 and 1,390,336,710.75

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Solution

The third proportional to 643,714,533 and 1,390,336,710.75 is: 3,002,940,076.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,714,533 : 1,390,336,710.75 = 1,390,336,710.75 : x
  2. Step 2: Convert to fraction form
    643,714,533/1,390,336,710.75 = 1,390,336,710.75/x
  3. Step 3: Cross multiply
    643,714,533x = 1,390,336,710.75 × 1,390,336,710.75
  4. Step 4: Simplify right side
    643,714,533x = 1,933,036,169,259,129,088
  5. Step 5: Solve for x
    x = 1,933,036,169,259,129,088/643,714,533
  6. Step 6: Final answer
    x = 3,002,940,076.95

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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.