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Finding the Third Proportional to 278,779,356 and 575,457,120

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Solution

The third proportional to 278,779,356 and 575,457,120 is: 1,187,860,183.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,779,356 : 575,457,120 = 575,457,120 : x
  2. Step 2: Convert to fraction form
    278,779,356/575,457,120 = 575,457,120/x
  3. Step 3: Cross multiply
    278,779,356x = 575,457,120 × 575,457,120
  4. Step 4: Simplify right side
    278,779,356x = 331,150,896,958,694,400
  5. Step 5: Solve for x
    x = 331,150,896,958,694,400/278,779,356
  6. Step 6: Final answer
    x = 1,187,860,183.44

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.