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Finding the Third Proportional to 102,612,170 and 159,020,611.25

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Solution

The third proportional to 102,612,170 and 159,020,611.25 is: 246,438,164.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,612,170 : 159,020,611.25 = 159,020,611.25 : x
  2. Step 2: Convert to fraction form
    102,612,170/159,020,611.25 = 159,020,611.25/x
  3. Step 3: Cross multiply
    102,612,170x = 159,020,611.25 × 159,020,611.25
  4. Step 4: Simplify right side
    102,612,170x = 25,287,554,802,323,628
  5. Step 5: Solve for x
    x = 25,287,554,802,323,628/102,612,170
  6. Step 6: Final answer
    x = 246,438,164.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.