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Finding the Third Proportional to 2,572,768 and 3,782,112

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Solution

The third proportional to 2,572,768 and 3,782,112 is: 5,559,914.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572,768 : 3,782,112 = 3,782,112 : x
  2. Step 2: Convert to fraction form
    2,572,768/3,782,112 = 3,782,112/x
  3. Step 3: Cross multiply
    2,572,768x = 3,782,112 × 3,782,112
  4. Step 4: Simplify right side
    2,572,768x = 14,304,371,180,544
  5. Step 5: Solve for x
    x = 14,304,371,180,544/2,572,768
  6. Step 6: Final answer
    x = 5,559,914.92

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.