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Finding the Third Proportional to 109,819,638 and 165,854,929

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Solution

The third proportional to 109,819,638 and 165,854,929 is: 250,482,135.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,819,638 : 165,854,929 = 165,854,929 : x
  2. Step 2: Convert to fraction form
    109,819,638/165,854,929 = 165,854,929/x
  3. Step 3: Cross multiply
    109,819,638x = 165,854,929 × 165,854,929
  4. Step 4: Simplify right side
    109,819,638x = 27,507,857,473,595,040
  5. Step 5: Solve for x
    x = 27,507,857,473,595,040/109,819,638
  6. Step 6: Final answer
    x = 250,482,135.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.