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Finding the Third Proportional to 429,835,263.75 and 920,970,978.75

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Solution

The third proportional to 429,835,263.75 and 920,970,978.75 is: 1,973,285,151.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,835,263.75 : 920,970,978.75 = 920,970,978.75 : x
  2. Step 2: Convert to fraction form
    429,835,263.75/920,970,978.75 = 920,970,978.75/x
  3. Step 3: Cross multiply
    429,835,263.75x = 920,970,978.75 × 920,970,978.75
  4. Step 4: Simplify right side
    429,835,263.75x = 848,187,543,699,732,992
  5. Step 5: Solve for x
    x = 848,187,543,699,732,992/429,835,263.75
  6. Step 6: Final answer
    x = 1,973,285,151.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.