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Finding the Third Proportional to 286,240,086 and 628,712,856

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Solution

The third proportional to 286,240,086 and 628,712,856 is: 1,380,938,151.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,240,086 : 628,712,856 = 628,712,856 : x
  2. Step 2: Convert to fraction form
    286,240,086/628,712,856 = 628,712,856/x
  3. Step 3: Cross multiply
    286,240,086x = 628,712,856 × 628,712,856
  4. Step 4: Simplify right side
    286,240,086x = 395,279,855,299,676,736
  5. Step 5: Solve for x
    x = 395,279,855,299,676,736/286,240,086
  6. Step 6: Final answer
    x = 1,380,938,151.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.