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Finding the Third Proportional to 86,405,062.50 and 121,539,557.25

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Solution

The third proportional to 86,405,062.50 and 121,539,557.25 is: 170,960,630.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,405,062.50 : 121,539,557.25 = 121,539,557.25 : x
  2. Step 2: Convert to fraction form
    86,405,062.50/121,539,557.25 = 121,539,557.25/x
  3. Step 3: Cross multiply
    86,405,062.50x = 121,539,557.25 × 121,539,557.25
  4. Step 4: Simplify right side
    86,405,062.50x = 14,771,863,976,526,028
  5. Step 5: Solve for x
    x = 14,771,863,976,526,028/86,405,062.50
  6. Step 6: Final answer
    x = 170,960,630.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.