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Finding the Third Proportional to 86,977,435.50 and 121,664,418.75

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Solution

The third proportional to 86,977,435.50 and 121,664,418.75 is: 170,184,723.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,977,435.50 : 121,664,418.75 = 121,664,418.75 : x
  2. Step 2: Convert to fraction form
    86,977,435.50/121,664,418.75 = 121,664,418.75/x
  3. Step 3: Cross multiply
    86,977,435.50x = 121,664,418.75 × 121,664,418.75
  4. Step 4: Simplify right side
    86,977,435.50x = 14,802,230,789,775,352
  5. Step 5: Solve for x
    x = 14,802,230,789,775,352/86,977,435.50
  6. Step 6: Final answer
    x = 170,184,723.25

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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.