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Finding the Third Proportional to 114,975,840 and 172,421,541

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Solution

The third proportional to 114,975,840 and 172,421,541 is: 258,568,998.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,975,840 : 172,421,541 = 172,421,541 : x
  2. Step 2: Convert to fraction form
    114,975,840/172,421,541 = 172,421,541/x
  3. Step 3: Cross multiply
    114,975,840x = 172,421,541 × 172,421,541
  4. Step 4: Simplify right side
    114,975,840x = 29,729,187,800,814,680
  5. Step 5: Solve for x
    x = 29,729,187,800,814,680/114,975,840
  6. Step 6: Final answer
    x = 258,568,998.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.