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Finding the Third Proportional to 112,872,420 and 172,682,165.50

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Solution

The third proportional to 112,872,420 and 172,682,165.50 is: 264,184,379.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,872,420 : 172,682,165.50 = 172,682,165.50 : x
  2. Step 2: Convert to fraction form
    112,872,420/172,682,165.50 = 172,682,165.50/x
  3. Step 3: Cross multiply
    112,872,420x = 172,682,165.50 × 172,682,165.50
  4. Step 4: Simplify right side
    112,872,420x = 29,819,130,281,769,392
  5. Step 5: Solve for x
    x = 29,819,130,281,769,392/112,872,420
  6. Step 6: Final answer
    x = 264,184,379.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.