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Finding the Third Proportional to 143,826,840 and 316,970,172

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Solution

The third proportional to 143,826,840 and 316,970,172 is: 698,548,963.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,826,840 : 316,970,172 = 316,970,172 : x
  2. Step 2: Convert to fraction form
    143,826,840/316,970,172 = 316,970,172/x
  3. Step 3: Cross multiply
    143,826,840x = 316,970,172 × 316,970,172
  4. Step 4: Simplify right side
    143,826,840x = 100,470,089,937,709,584
  5. Step 5: Solve for x
    x = 100,470,089,937,709,584/143,826,840
  6. Step 6: Final answer
    x = 698,548,963.03

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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.