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Finding the Third Proportional to 387,983,265 and 840,544,130

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Solution

The third proportional to 387,983,265 and 840,544,130 is: 1,820,992,032.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,983,265 : 840,544,130 = 840,544,130 : x
  2. Step 2: Convert to fraction form
    387,983,265/840,544,130 = 840,544,130/x
  3. Step 3: Cross multiply
    387,983,265x = 840,544,130 × 840,544,130
  4. Step 4: Simplify right side
    387,983,265x = 706,514,434,477,456,896
  5. Step 5: Solve for x
    x = 706,514,434,477,456,896/387,983,265
  6. Step 6: Final answer
    x = 1,820,992,032.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.