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Finding the Third Proportional to 86,507,760 and 120,943,656

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Solution

The third proportional to 86,507,760 and 120,943,656 is: 169,087,350.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,507,760 : 120,943,656 = 120,943,656 : x
  2. Step 2: Convert to fraction form
    86,507,760/120,943,656 = 120,943,656/x
  3. Step 3: Cross multiply
    86,507,760x = 120,943,656 × 120,943,656
  4. Step 4: Simplify right side
    86,507,760x = 14,627,367,926,646,336
  5. Step 5: Solve for x
    x = 14,627,367,926,646,336/86,507,760
  6. Step 6: Final answer
    x = 169,087,350.39

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.