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Finding the Third Proportional to 72,986,770 and 102,039,975

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Solution

The third proportional to 72,986,770 and 102,039,975 is: 142,658,135.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,986,770 : 102,039,975 = 102,039,975 : x
  2. Step 2: Convert to fraction form
    72,986,770/102,039,975 = 102,039,975/x
  3. Step 3: Cross multiply
    72,986,770x = 102,039,975 × 102,039,975
  4. Step 4: Simplify right side
    72,986,770x = 10,412,156,498,000,624
  5. Step 5: Solve for x
    x = 10,412,156,498,000,624/72,986,770
  6. Step 6: Final answer
    x = 142,658,135.14

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