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Finding the Third Proportional to 291,235,385 and 623,923,167

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Solution

The third proportional to 291,235,385 and 623,923,167 is: 1,336,651,170.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,235,385 : 623,923,167 = 623,923,167 : x
  2. Step 2: Convert to fraction form
    291,235,385/623,923,167 = 623,923,167/x
  3. Step 3: Cross multiply
    291,235,385x = 623,923,167 × 623,923,167
  4. Step 4: Simplify right side
    291,235,385x = 389,280,118,319,309,888
  5. Step 5: Solve for x
    x = 389,280,118,319,309,888/291,235,385
  6. Step 6: Final answer
    x = 1,336,651,170.73

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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.