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Finding the Third Proportional to 1,448,363.53 and 2,128,178.81

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Solution

The third proportional to 1,448,363.53 and 2,128,178.81 is: 3,127,077.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448,363.53 : 2,128,178.81 = 2,128,178.81 : x
  2. Step 2: Convert to fraction form
    1,448,363.53/2,128,178.81 = 2,128,178.81/x
  3. Step 3: Cross multiply
    1,448,363.53x = 2,128,178.81 × 2,128,178.81
  4. Step 4: Simplify right side
    1,448,363.53x = 4,529,145,057,973.91
  5. Step 5: Solve for x
    x = 4,529,145,057,973.91/1,448,363.53
  6. Step 6: Final answer
    x = 3,127,077.53

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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.